dansmath - dvc page

dansmath > dvc page


Diablo Valley College - 321 Golf Club Road - Pleasant Hill, CA - 94523 - www.dvc.edu

dan the math man bach
= listen to dansmathcast = my math podcast ! =
[ Mathematics Instructor | Textbook Author | Multimedia&Web Design ]



DVC-related topics: (scroll down for more)

My Courses - Spring 2008 - [ Math 110 | Math 124 | Math 182 ]

Some o ther DVC Courses I've taught : [ Math 75 | Math 120 | Math 121 | Math 135 | Math 142 | Math 191 | Math 192 | Math 193 ]

My office is in the DVC Math Building: MA-114. See specific course outlines for office hours.

Also try visiting:

Dan's Math Podcast
Dan's Prealgebra Textbook

Problem of the Week
Free Online Math Lessons

Dan's Favorite Links
Sample Questions and Answers

Dan's DVC History
DVC College Website

[ home | meet dan | info | lessons | matica | ask dan ]

(c) 1997-2008 Dan Bach and B & L Math Enterprises; all rights reserved. Download for personal use only.


Dan's DVC History [ go to top of page ]

Dan Bach has been a Mathematics Instructor at Diablo Valley College (DVC) since way back in the late 1980s.
He has taught all levels of math from basic arithmetic through algebra, calculus, and differential equations.
You can get lessons in many of these topics on this website!

You might also know he has a textbook out, with Patricia Leitner --
Prealgebra, Mathematics for a Variable World, used at DVC and colleges nationwide!

Before DVC, Dan had teaching stints at U.C. Berkeley Extension, Black Pine Circle Day School,
the U.C.B. Gifted Program, Mills College, and U.C. Berkeley Freshman Program.
[ top of page ]

Some recent DVC Courses I've taught [ go to top of page ]

Math 75 - Arithmetic & Prealgebra - Arithmetic operations, properties of numbers and primes,
variables, linear equations, introduction to graphing. See my textbook page, also my lessons.
Math 110 - Beginning Algebra - Formulas and equations, many application problems. Learn
how to apply skills tofactoring, graphing, and simplifying expressions and solving equations.
Math 120 - Intermediate Algebra - Continuation of Math 110, with an emphasis on the
connections between formulas, equations, factors, and graphs. Lots of application problems.
Math 121 - Trigonometry - Measuring triangles; sine, cosine, tangent functions, graphs.
Vectors, forces, circular motion. Identities, trig equations. Lots more application problems.
Math 124 - Math for Liberal Arts - This is the course that addresses the age-old question:
"What is math good for?" A variety of cool topics, and a transferable course (to CalStateU)
Math 182 - Business Calculus I - No trig, not a lot of theory, just the basics of Calculus,
with plenty of applications in economics, medicine, and business. See my calculus page.
Math 191 - Prealculus - Functions, graphs, with review of Trigonometry. See my lessons.
Math 192 - Calculus I - "Gateway to the scientific world." This calculus series is for math,
physics, engineering, and other "serious sciences." Also try out my calculus page.
Math 193 - Calculus II - "Exploring the scientific world." Go to my calculus page.
Math 292 - Calculus III - "Analyzing the three-dimensional world." vector calculus page.



Math 75 - Arithmetic and Prealgebra [ go to top of page ]
Subjects (Math 75): [ back to Math 75 ]

Brief overview of number systems and their uses
Introduction to "Dan's Math Clinic" computer lessons
Basic operations with whole numbers
Positive and negative integers
Order of operations - do you know 2 + 3 x 4 ?
Fractions and decimals
Percentages and applications
Square roots and the Pythagorean Theorem
Variables - who needs them?
Simplifying expressions with like terms
Recognizing and solving linear equations
Word problems - how to "get it"

Show me details on the Bach/Leitner textbook!




Math 110 - Beginning Algebra [ go to top of page ]

[ Subjects | Homework | Tests | Extra Credit ]
= listen to dansmathcast = my math podcast ! =


Subjects (Math 110): [ back to Math 110 ]

Review of order of arithmetic operations
Definition and laws of exponents
Variables and like terms
Simplifying expressions
Solving equations
Graphing points, lines, equations of lines
Tackling word problems
Multiplying, factoring, dividing polynomials
Algebraic fractions and rational equations
Radical expressions and equations
Quadratic equations by factoring, completing
the square, and the quadratic formula

Expect to spend about 2 hours outside of class for each hour in class!

That's a minimum of 8-10 hours per week for homework, reviewing notes, going

to the math lab, studying with friends, and asking questions at my office hours.

Homework Assignments (Math 110): [ back to Math 110 ]

HW #1 (All from the book, Chapter 1) : Due Thur Jan 24, 2008 :

1.1 # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 115. . . . . . . . . . . . .1.2 # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 110
1.3 # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 90 ; 91 . . . . . . . . .1.4 # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 105
1.5 # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 95 . . . . . . . . . . . . . 1.6 # 5 , 10 , 15 , . . . , 110
1.7 # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 130 . . . . . . . . . . . . 1.8 # 3 , 6 , 9 , . . . , 21 ; 25 , 30 , . . . , 120.
HW #2 (From the book, Chapter 2) : Due Thurs Feb 7, 2008 :

2.1 # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 70. . . . . . . . . . . . .2.2 # 3 , 6 , 9 , . . . , 48 ; 50 , 55 , . . . , 90
2.3 # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 80 ; 84 , 85 . . . . . 2.4 # 3 , 6 , 9 , 12 ; 15 , 20 , . . . , 100
2.5 # 3 , 6 , 9 , . . . , 18 ; 20 , 25 , . . . , 75 . . . . . . . . . . . . 2.6 # 3 , 6 , 9 , . . . , 18 ; 20 , 25 , . . . , 110.
HW #3 (Chapter 3) : Due Tues Feb 19

3.1 # 3 , 6 , 9 , . . . , 33 ; 35 , 40 , 45 ; 47. . . . . . . . . . . . . 3.2 # 3 , 6 , 9 , . . . , 24 ; 25 , 30 , . . . , 50
3.3 # 3 , 6 , 9 , . . . , 18 ; 20 , 25 , . . . , 80 . . . . . . . . . . . . 3Rev # 3 , 6 , 9 , . . . , 30 (part of HW, not extra cred)
HW #4 (Chapter 4) : Due Tues Mar 4

4.1 # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 70 ; 72 . . . . . . . . 4.2 # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 85
4.3 # 3 , 6 , 9 , . . . , 42 ; 45 , 48 , 50 . . . . . . . . . . . . . . . . . 4.4 # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 60 ; 62
4.5 # 3 , 6 , 9 , . . . , 45 by 3's . . . . . . . . . . . . . . . . . . . . . . . . 4.6 # 3 , 6 , 9 , . . . , 18 ; 20 , 25 , . . . , 50 ; 59.
HW #5 (Chapter 5) : Due Thurs, Mar. 13

5.1 # 3 , 6 , 9 , . . . , 15 ; 20 , 25 , . . . , 60 ; 61 , 69 , 72 . . . 5.2 # 3 , 6 , 9 , . . . , 24 ; 25 , 30 , . . . , 55
5.3 # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 65 ; 71 . . . . . . . . . . . 5.4 # 3 , 6 , 9 , 12 , . . . , 39 (by 3's)
HW #6 (Chapter 6) : Due Thur, Apr. 3

6.1 # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 120 ; (98) . . . . . . 6.2 # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 115 ; 118
6.3 # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 120 ; 98 . . . . . . . 6.4 # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 105
6.5 # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 100 . . . . . . . . . . . 6.6 # 3 , 6 , 9 , . . . , 24 ; 25 , 30 , . . . , 60 ; 61 , 62.
HW #7 : Due Thur Apr 17 (This one is worth 25 points)

6.7 # 5 , 10 , 15 , 20 , . . . , 160 . . . . . . . . . . . . . . . . . . . . . 7.1 # 3 , 6 , 9 , . . . , 42 ; 45 , 50 , . . . , 95 ; 98 , 102 , 105
7.2 # 3 , 6 , 9 , . . . , 48 ; 50 , 55 , . . . , 95 ; 78 , 88 . . . 7.3 # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 105
7.4 # 3 , 6 , 9 , . . . , 42 ; 45 , 50 , . . . , 120 . . . . . . . . . . 7.5 # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 120
7.6 # 3 , 6 , 9 , 12 ; 15 , 20 , . . . , 75 ; 78--85.
HW #8 : Due Thurs, May 1

8.1 # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 105 . . . . . . . . . . . 8.2 # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 80 ; 73 , 87
8.3 # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 85 ; 92 , 93 . . . . . 8.4 # 3 , 6 , 9 , . . . , 24 ; 25 , 30 , . . . , 115
8.5 # 3 , 6 , 9 , 12 ; 15 , 20 , . . . , 60 ; 62 . . . . . . . . . . . . 8.6 # 3 , 6 , 9 , 12 ; 15 , 20 , . . . , 70 ; 72 , 78
Show the question, steps, and answer for each problem!
Please staple & label front page upper right with your name,
'Math 110, Bach', and include section numbers from book.

Quizzes and Tests (Math 110): [ back to Math 110 ]

We will have 5 "quizzes" (20-25 min) and 4 "tests" (60 min) during the semester:

Quiz # 1 was Thurs Jan 24 - Chapter 1 (20 pts)
Test # 1 was Thurs Feb 7 - Chapters 1-2 (100 pts)
Quiz # 2 was Tues Feb 19 - Chapter 3 (20 pts)
Test # 2 was Tues Mar 4 - Chapters 3-4 (100 pts)
Quiz # 3 was Thurs Mar 13 - Chapter 5 (20 pts)
Test # 3 was Thurs Apr 3 - Chapters 1--6 (100 pts)
Quiz # 4 was Thurs Apr 17 - Chapter 7 (20 pts)
Test # 4 : Thurs May 1 - Chapters 7-8 (100 pts)
Quiz # 5 : Tues May 13 - Chapter 9 (20 pts)
Last day of class - Thurs May 15 (new Chap 10 material and semester review)
Final Exam - Tues May 20 only! - 4-6 PM (200 pts)

Extra Credit (Math 110): [ back to Math 110 ]

Chap 8 Review # 5 , 10 , 15 , . . . end (2 pts by Tues May 6)
----------------------------------------------------------------------------------------------
Listen to one or more of my podcasts and summarize its content
in your own words . (1 pt each podcast, one or two new per month, limit ten.)

Math 120 - Intermediate Algebra [ go to top of page ]

[ Subjects | Homework | Tests | Extra Credit ]

Subjects (Math 120, Fall 2007):

Set Theory, Review of Arithmetic and Basic Algebra
Equations and Inequalities
Functions and Graphing
Linear Functions and Constant Growth Models
Systems of Equations and Linear Programming
Polynomials, Factoring, Roots vs. Intercepts
Rational Expressions and Equations
Roots, Radicals, and Fractional Exponents
Parabolas and Quadratic Equations
Exponential and Log functions

Math 121 - Trigonometry [ go to top of page ]

[ Subjects | Homework | Tests | Extra Credit ]

Subjects (Math 121):

* Angles, Degrees, Pythagorean Theorem

* The Six Trig Functions on Circles

* Right Triangles and the Sine and Cosine

* Vectors, Forces, and Applications

* Radian Measure and Circular Arclength

* Area of Sectors, Angular and Linear Velocity
* Identities, Formulas, and Trig Equations
* General Triangle Solving; Law of Sines and Cosines
* Complex Numbers and Polar Coordinates

* Other topics to be included as time allows!

Expect to spend at least 2 hours outside of class for each hour in class!
That's a minimum of 6 hours per week for homework, reviewing notes, going
to the math lab, studying with friends, and asking questions at my office hours.

Math 124 - Math for Liberal Arts - Spring 2008 [ go to top of page ]

Subjects (Math 124): [ back to Math 124 ]

Basic concepts of Set Theory
Combinatorics (permutations and combinations)
Number Theory (prime factorizations, divisors)
Divisor Charts, Factor Trees
Abundant, Deficient, and Perfect Numbers
Review of Functions and Graphing
Geometry: Historical, Practical, Weird, and Recreational
Tessellations (tilings) and Polyhedra (solids)
Other topics to be included as time allows:
Probability and Statistics
Exponential and Log functions
Applications: World population, Radioactive decay
Compound interest and Regular deposits (annuities)

Click here for printable polygons sheet !

Homework Assignments (Math 124): [ back to Math 124 ]

HW #1 : Due Mon Feb. 4, 2008 :
2.1 # 1--5 , 7 , 9--17 , 19 , 21 , 24 , 27 , 29 , 34 , 39 , 40 , 43 , 46
2.2 # 1 , 3 , 10 , 11 , 17 , 19 , 21 , 22 , 24 , 26 , 27 , 33 , 36
2.3 # 1 , 3 , 4 , 6 , 7 , 13 , 14 , 15 , 17 , 20 , 23 , 25 , 27 , 29 , 32 , 33 , 37 , 41 , 44.

HW #2 : Due Mon Feb. 25, 2008 : (Holiday Feb. 18)
2.4 # 1 , 5 , 9 , 13 , 15 , 17 , 18 , 19 , 21 , 26--29 , 32--35 , 40
2.5 # 1 , 3 , 6 , 7 , 9 , 10 , 12 , 15 , 17 , 19 , 22 , 23 , 24
HW #3 : Due Mon Mar. 10, 2008 :
7.1 # 3--21 (by 3's) and # 25--105 (by 5's)
7.2 # 3--18 (by 3's) and # 20--75 (by 5's)
7.3 # 1--6 (all) and # 9--48 (by 3's)
and Blue Handout #1-17 (all)

HW #4 : Due Mon Apr 7, 2008 :
7.4 # 1, 2, 3, 5, . . . (all Fibonacci Nos) ; 17 , 18
8.1 # 1--4 ; 6 , 9 , 12 , . . . , 42
8.2 # 1--4 ; 6 , 9 , 12 , . . . , 33 ; 13 , 26.

HW #5 : Due Mon Apr 21, 2008 (late papers accepted!) :
8.3 # 1--6 ; 9 , 12 , 15 , 18 , 21 , 24 ; 25 , 26 , 27
8.4 # 1--6 ; 8 , 11 , 12 , 15 , 16 , 18 , 20 , 21
8.6 # 1 , 2 , 3 , 6 , 7 , 10 , 15 , 18 , 19 , 23 , 26 , 29 , 32
* Prove that {m^2 - n^2 , 2mn , m^2 + n^2} forms a Pythagorean Triple for all integers m > n.

HW # 6 : Due Mon. May 5, 2008:
8.6 # 8 , 9 , 14 , 21 ;
For A. and B. consult your class notes from 4/21 or see"Tess and Poly" on my Geometry page
A. Prove these are tessellations and draw some of each :
. . . < 3 , 3 , 4 , 3 , 4 > and < 4 , 6 , 12 >
B. Find the "angle gap" and decide how many corners the polyhedron has:
. . . < 4 , 6 , 8 > and < 3 , 3 , 3 , 3 , 5 >
8.7 . . . # 1 -- 25 all of them! #26 has ideas for class projects (not just a biography).

HW # 7 : Due Mon. May 12 or Mon May 19, 2008:
Sec. 6.1 , certain problems , and individual worksheet given out on May 5.


-----------------------------------------------------------------
Term Paper due Mon. Apr 28 or . . . *
Minimum 4 pages of typed text plus optional illustrations
Include mathematical contributions if doing a biography.
Choose one topic from any of the following lists in the textbook:

Page 122 # 28 : Cantor , Dedekind , Bolzano , Kronecker , Continuum Hypothesis
Page 510 # 50 : Mersenne Primes , GIMPS (prime search) , Mysticism and Numbers
Page 518 # 26 : Fib's in nature , Fib's & Continued Fractions , Golden Rectangle & Art , Fib's & Music
Page 573 # 29 : Alexandria , Archimedes , Euclid , Pythagoras & Pythagoreans , Classic Construction
Page 610 # 26 : Bolyai , Escher , Lobachevsky , Poincare' , Riemann (see details in book)
Please read details in book... (*Apr 28: max 60 pts, May 5: max 50 pts)

-----------------------------------------------------------------
Final Project (Written, Digital Media, or Class Presentation)
Choices: a) Sonya K, b) Fermat's Last Theorem (readings & questions given in class 4/28, also available at MA-114),
c) Flatland by Edwin A. Abbott - (report on the societal views and math content described in 100-page book)
d) Visual presentation/poster on tessellations and/or polyhedra (full of eye candy, supporting formulas, and information)
e) Individual presentation - visual, sound, computer, web (class presentation 5/12 or submitted just to me)
f) Other projects you see listed in the textbook (e-mail me if you want to ask if your choice is acceptable)
Due Mon. May 12, 60 pts (or Mon May 19 at final, 50 pts - no class presentations at final exam)
Show the question, steps, and answer for each problem!
Please staple & label front page upper right with your name,
'Math 124, Bach', and include section numbers from book.

Quizzes and Tests (Math 124): [ back to Math 124 ]

We will have 4 "quizzes" (20-25 min) and 3 "tests" (55-60 min) during the semester:

Quiz # 1 - Mon Jan 28 - Sections 2.1 - 2.2 (30 pts)
Test # 1 - Mon Feb 11 - Chapter 2 (100 pts)
Quiz # 2 - Mon Mar. 3 - Sections 2.4, 2.5, 7.1, 7.2 (30 pts)
Test # 2 - Mon Mar 31 -- Sec. 2.5 , Chap 7 (+ blue handout) , Sec 8.1 (100 pts)
Quiz # 3 - Mon Apr. 14 - Sections 8.1 , 8.2 , 8.3 (and 7.4 not 8.4) (30 pts)
Test # 3 - Mon May 5 -- Sec. 8.3, 8.4, Tess & Polyh , 8.6, 8.7 (100 pts)
Quiz # 4 - Mon May 12 - Sections 8.7, 6.1 (30 pts)

Final Exam - Mon May 19, 2008 - 4:00 - 6:00 PM (2 hrs) (200 pts)

Extra Credit (Math 124): [ back to Math 124 ]

----------------------------------------------------------------------------------------------
Listen to one or more of my podcasts & summarize its content in your own words .
(1 pt each podcast (max. 10); there are 33 shows so far, and a new one each month or so)

Math 135 - College Algebra [ go to top of page ]

Subjects (Math 135) : [ back to Math 135 ]

Brief review of order of operations, and laws of exponents
Review of coordinates, graphing points, lines, and functions
Review of algebra basics, equations, factoring; intro to Mathematica
Polynomials, factors and roots, graphs of rational functions
Exponential and log functions, definitions and graphs
Applications: world population, radioactive decay, compound interest
Graphing Inequalities, Linear Programming and Applications
Conic Sections: Parabolas, Ellipses, Hyperbolas, Other...


Expect to spend at least 2 hours outside of class for each hour in class!
That's a minimum of 10 hours per week for homework, reviewing notes, going
to the math lab, studying with friends, and asking questions at my office hours.

Math 142 - Introductory Statistics [ go to top of page ]

Subjects (Math 142) :

Brief review of order of operations, and algebra
Experiments, sampling techniques, randomness
Measures of center and spread: mean, median, variance, standard deviation
The normal distribution, normal curve, and z-scores
Probability and combinatorics: coins, dice, cards
Discrete and continuous probability functions
The central limit theorem, sample means, comfidence intervals
Applications: surveys, gambling odds, Term Project
Hypothesis testing goodness of fit
Other subjects as time allows...


Expect to spend at least 2 hours outside of class for each hour in class!
That's a minimum of 10 hours per week for homework, reviewing notes, going
to the math lab, studying with friends, and asking questions at my office hours.

Math 182 - Business & Management Calculus [ go to top of page ]

[ Subjects | Homework | Tests | Extra Credit ]


Subjects (Math 182) : [ back to Math 182 ]

Brief review of algebra, equations, functions, and formulas
Graphing functions and properties of graphs
Limits of functions, properties of limits
Concept of the derivative, rules of differentiation
Using the derivative to help graph a function
Optimization problems, business applications
Exponential and log functions, derivs. and applics.
The definite integral, finding areas under curves


Expect to spend at least 2 hours outside of class for each hour in class!
That's a minimum of 6-8 hours per week for homework, reviewing notes, going
to the math lab, studying with friends, and asking questions at my office hours.
You can include listening to my podcast as a way of augmenting your usual studies.

Homework Assignments (Math 182): [ back to Math 182 ]

HW #1 : Due Thurs Jan. 24, 2008 :
1.1 # 1, 4, 5, 7, 10--13, 15--19, 23, 26, 30, 31, 34, 35, 39, 46, 49, 50, 52, 55
1.2 # 1, 3, 4, 5, 11, 13, 15, 16, 19, 22, 25, 27, 28, 41--44
1.3 # 1, 4, 8, 11, 14, 15, 20, 23, 24, 29, 30, 32, 33, 35, 40
1.4 # 1, 3, 4, 5, 48 , Homework Handout #1 (#1-17)

HW #2 : Due Tues Feb. 12, 2008 :
Homework Handout #2 (#1-7) , Homework Handout #3 (#1-3)
1.5 # 1--8, 11--14, 19--24, 27, 30--39, 41, 50, 54, 57
1.6 # 1--7, 9, 10, 13, 14, 15, 16, 18, 19, 21, 24--27, 30, 33, 35, 36, 39, 40, 43, 46

HW #3 : Due Tues Feb. 26, 2008 :
Section 2.1 , HW Handout #4 , and
Section 2.2 -- problems from the yellow handout.
HW #4 : Due Tues Mar. 11, 2008 :
Section 2.3 and 2.4 on assignment sheet

HW #5 : Due Tues Apr. 1, 2008 :
Section 2.6 and 3.1 on assignment sheet

HW #6 : Due Tues Apr. 15, 2008 :
Section 3.2 , 3.3 , and 3.4 on assignment sheet

HW #7 : Due Tues Apr. 29, 2008 :
Section 3.5 , 4.1 , Handout 4.2 on assignment sheet

HW #8 : Due Tues May. 13, 2008 :
Section 4.3 , 5.1 , 5.2 , maybe 5.3
Show the question, steps, and answer for each problem!
Please staple & label front page upper right with your name,
'Math 182, Bach', and include section numbers from book.

Quizzes and Tests (Math 182): [ back to Math 182 ]

We will have 4 "quizzes" (20-25 min) and 3 "tests" (55-60 min) during the semester:

Quiz # 1 - Thur Jan 24 - Algebra + Sections 1.1 - 1.4 (30 pts)
Test # 1 - Tues Feb 5 - Algebra + Sections 1.1---1.5 (120 pts)
Quiz # 2 - Tues Feb 19 - Limits, Cont, Deriv Def - Sections 1.5 - 2.1 (30 pts)
Test # 2 - Tues Mar 4 - Sections 1.6---2.3 (120 pts)
Quiz # 3 - Tues Mar 25 - Sections 2.3 , 2.4 , 2.6 (30 pts)
Test # 3 - Tues Apr 8 - Sections 2.4, 2.6, 3.1, 3.2, 3.3 (120 pts)
In-Class Worksheet - Tues Apr 22 (5 pts, Sec. 3.3, 3.4)
Quiz # 4 - Thur Apr 24 - Sections 3.4 , 3.5 , 4.1 (30 pts)
Test # 4 - Thurs May 8 - Section 3.3 or 3.4 thru 4.3 or 5.1 (120 pts)
Bonus: Group problem 4 - on Chapter 5 - May 13 or 15
Final Exam - Tues May 20, 2008 - 1:00--3:00 PM - Chapters 1--5 (2 hrs)

Extra Credit (Math 182): [ back to Math 182 ]

Drowning Child Problem: A lifeguard (L) on the beach, sees a child (C) in the water, calling for help.
The lifeguard (Mitch) is 20 yards from the water, and the child is 30 yards from the sand and 60 feet downshore.
If Mitch can run in the sand at 4 yd/sec and can swim at 2 yd/sec, what point (P) on the shore should he run
towards, so that he can reach the child as soon as possible? (Assume the child stays in the same spot, crying.)
Time's up for extra credit on this one.
Chapter 4 Review due Thurs, May 8 before test 4.
----------------------------------------------------------------------------------------
Try my ProblemOfTheWeek contest! (1 pt per prob attempted)
----------------------------------------------------------------------------------------
Listen to any of my podcasts and summarize its content in your own words (1 pt per podcast, max. 10)

Math 191 - Precalculus [ go to top of page ]

Subjects (Math 191):

Math 192 - First-semester Calculus [ go to top of page ]

[ Subjects | Homework | Tests | Extra Credit ]

Subjects (Math 192):

. . . * Brief review of precalculus and trigonometry
. . . * Introduction to graphing calculators and Mathematica
. . . * Discussion of functions, limits, and graphs
. . . * Secant and tangent lines, the slope of a curve
. . . * The derivative of a function
. . . * Differentiation rules: sum, product, quotient, chain rules
. . . * Curve sketching and analysis, computer-assisted graphing
. . . * Applications: max-min problems
. . . * Implicit functions and derivatives
. . . * Antiderivatives and the Fundamental Theorem of Calculus
. . . * Definite integrals; area under a curve and between curves
. . . * Applications of the integral: volume, arclength, surface area, work, as time allows

Expect to spend at least 2-3 hours outside of class for each hour in class!
There will be lots of group work in class and some projects outside of class.
That's a minimum of 10-15 hours per week for homework, reviewing notes,
going to the math lab, studying with friends, and asking questions at my office hours.

Typical Homework (Math 192): [ back to Math 192 ]

HW #1 (All from the Anton book, Chapter 1) : Due Mon Jan. 30, 2006 :

1.1 # 1 - 5 , 10 , 13 , 16 , 20 , 23 , 25 , 26 , 30 , 31
1.2 # 1 , 4 , 8 , 13 , 16 , 17 , 20 , 25 , 28 , 31
1.3 # 2 , 5 , 8 , 14 , 19 , 24 , 31 , 34 , 35 , 42 , 53 , 56 , 61 , 64 , 67
1.4 # 1 , 2 , 6 , 7 , 10 , 11 , 14b , 17 , 18 , 23 , 26 , 31 , 34
HW #2 (from the book, Chap 1) : Due Mon Feb. 13 : (n) means optional

1.5 # 1abc , 4 , 7 , 10 , 15 , 18 , 23 , 24 , 29 , 30 , 35 , 40 , 48 , 55 , 56
1.6 # 2 , 4 , 5 , 8 , 10 , 13 , 16 , 23 , 26 , 31 , 34 , 37 , 40 , (45) , 49 , 52
1.7 # 1 , 2 , 4 , 7 , 10 , 13 , 18 and access to a TI-83 or TI-8x
1.8 # 2 , 3 , 6 , 9 , 12 , 15 , 18 , 23ab , 24 , 27abcd , 29 , 36 , 41 , (44)
HW #3 (from the book, Chap 2) : Due Mon Feb. 27 : (n) means optional

2.1 # 1 , 2 , 3 , 4 , 7 , 10 , 11 , 15 , 20 , 22 , 23
2.2 # 1 , 2 , 5 , 7 , 10 , 13 , 16 , 21 , 24 , 27 , 30 , 31 , 37 , 38
2.3 # 2 , 3 , 6abcd ; 9 , 12 , 15 , . . . , 30 ; 35 , 40 , 45 , . . . , 80
HW #4 (from the book, Chap 2) : Due Wed. March 15 : (n) means optional

2.4 # 2 , 3 , 6 , 9 , 12 , 15 , 18 , 23 , 28a , 33 , 36 , 41 , 46 , 51 , 53ab , 64 , 69a , 73
2.5 # 2 , 5 , 8 , 11 , 14 , 19 , 21 , 26 , 29 , 32 , 34 , 35 , 42 , 45 , (46) , 49 , 51 , 52
2.6 # 1 , 4 , 7 ; 10 , 15 , 20 , . . . , 55 ; 59 , 62 , 65 , 70 , 73
HW #5 (from the book, Chap 3) : Due Mon, March 27: (n) means optional

3.1 # 1 , 2 , 3, ,4 , 6 , 9 , 10 , 11 , 14 , 15 , 19 , 20 , 23
3.2 # 1 - 5 ; 8 , 9 , 12 , 13 , 16 , 19 , 22 , 25 , 28 , 32 , 37 , 42 , 45 , (48)
3.3 # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , 45 , . . . , 75 ; 56 , 57
3.4 # 1 - 4 ; 6 , 9 , 12 , . . . , 39 , (35).
HW #6 (from the book, Chap 3) : Due Wed, April 5: (n) means optional

3.5 # 1 - 4 , 6 , 9 , 12 , . . . , 27 , 31 - 34 ; 37 , 40 , 43 , 46
3.6 # 1 , 2 ; 3 , 6 , 9 , . . . , 36 ; (41) , 45 , 50 , 53 , 57 , 60 , 66
3.7 # 1 , 2 , 4 , 5 , 8 , 11 , 14 , 17 , 20 , 25 , 29 , 32 , 37 , 40 , 43 , 46
3.8 # 2 ; 3 , 6 , 9 , 12 , . . . , 42 ; 45 , 50 , 55 , 60
Spring Break is Apr 15 - Apr 23
HW #7 (from the book, Chap 4) : Due Mon, May 1: (n) means optional

4.1 # 2 ; 3 , 6 , 9 , . . . , 30 ; 32 , 35 , 42 , 47 , 48 , 54
4.2 # 2 ; 3 , 6 , 9 , . . . , 51 (43, 44)
4.3 # 2 ; 3 , 6 , 9, . . . , 30 ; 35 , 40 , . . . , 70 ; (58, 59)
4.4 # 2 ; 3 , 6 , 9 , . . . , 24 ; 25 , 30 , . . . , 55 ; 58 , 61
HW #8 (from Chap 5) : Due Wed, May 10 (Late papers accepted):

5.1 # 2 ; 5 , 10 , 15 , . . . , 55 ; (59, 60)
5.2 # 2 , 3 ; 5 , 10 , 15 , . . . , 75
5.3 # 2 ; 5 , 10 , 15 , . . . , 55 ; (58)
5.4 # 2 ; 5 , 10 , 15 , . . . , 45 ; (49, 50)
5.5 # 2 , 3 , 6 , 11 , 14 , 19 , 24 , 29 , 34 , 41 , 42
HW # 9(from Chap 6) : Due Wed, May 17: (n) optional ;

Sec. 5.7 extra credit ; see below
6.1 # 3 , 6 , 9 , . . . , 24
6.2 # 2 ; 5 , 10 , 15 , . . . , 45
6.3 # 2ab , 5ab ; 10 , 15 , 20 , . . . , 55a
6.4 # 5 , 10 , 15 , . . . , 55 ; (60)
6.5 # (2) ; 5 , 10 , 15 , . . . , 35
6.6 # 2 ; 5 , 10 , 15 , . . . , 45 ; 55 , 56
Show the question, steps, and answer for each problem!
Please staple & label front page upper right with your name,
'Math 192, Bach', time of class, and include section numbers from book.

Quizzes and Tests (Math 192): [ back to Math 192 ]

We will have five "quizzes" (20-30 min) and four "tests" (60 min) during the semester

Quiz # 1 / Wed Feb 1 / Sec. 1.1 - 1.5 / 20 pts
Test # 1 / Monday Feb 13 / Chap 1 / 100 pts
Quiz # 2 / Wed Mar 1 / Sec. 2.1 - 2.4 / 20 pts
Test # 2 / Wed Mar 15 / Sec . 1.8 - 2.6 / 100 pts
Quiz # 3 / Wed Mar 29 / Sec. 3.1 - 3.6 / 20 pts
Test # 3 / Wed Apr 12 / Sec . 3.1 - 4.1 / 100 pts
Quiz # 4 / Mon May 1 / Sec. 4.1 - 4.4 / 20 pts
Test # 4 / Wed May 10/ Sec 4.2 - 5.5 / 100 pts
Quiz # 5 / Mon May 15 / Group Quiz / 20 pts
Final Exam / Mon May 22 / 4:00 - 6:10 / Chap 1 - 6 / 200 pts

Extra Credit (Math 192): [ back to Math 192 ]

----------------------------------------------------------------------------------------
Try my ProblemOfTheWeek contest! (1 pt per prob attempted)
----------------------------------------------------------------------------------------
Listen to any of my podcasts and summarize its content in your own words (1 pt per podcast)

Math 193 - Second-semester Calculus [ go to top of page ]

[ Subjects | SAMPLE PROBLEMS | Slope Fields ]

Subjects (Math 193): . . . back to math193

* Brief review of first-semester calculus

* Review of u-substitution

* Introduction to Mathematica

* Geometry and Physics Integrals: Volumes, Work

* Integration by parts , using integral tables

* Numerical integration, error analysis

* Improper integrals, the Gamma function

* Infinite series and Power series

* Taylor Series and Function approximation

* Introduction to Differential Equations

* Slope Fields, Solution Curves, Euler's Method

* Polar Coordinates Curves & Areas

* Parametric Equations . . . Conic Sections.

Math 292 - Third-semester Calculus [ go to top of page ]

Subjects (Math 292):

* Review of calculus I and II (2-3 days max)
* Introduction to Mathematica (1-2 days)
* The xyz-coordinate system; points, vectors, lines, planes
* Parametric curves in 2D and 3D; arclength, curvature
* Functions of two variables; surfaces and partial derivatives
* Level curves and gradient vectors
* Double and triple integrals; area, volume, surface area
* Cylindrical and spherical coordinates
* Vector fields, Green's Theorem, related topics

Expect to spend at least 2-3 hours outside of class for each hour in class!
That's a minimum of 10-15 hours per week for homework, reviewing notes, going
to the math lab, studying with friends, and asking questions at my office hours.

Problem of the Week [ go to top of page ]

Extra Credit for DVC Students! [ go to top of page ]

For latest extra credit opportunities, click your course at top of page !
Also check out the Problem of the Week page.

The World of Mathematica [ go to top of page ]

Unravel your math problems!

What is Mathematica? It's a powerful symbolic, numerical, and graphical computer algebra system. It's a word-processor with live mathematical content. It's the hottest thing to come along since the slide rule. And I drew these four cool pictures in Mathematica using 3D trigonometry!

Math 170 - In Fall 1997, I initiated and taught a Short course in Mathematica, at Diablo Valley College, (four 2-hr classes). It was repeated in 1998 and 2000. Click for more detailed information on the workings of Mathematica (with examples and pictures!) and for my own history with Mathematica. e-mail me if you want me to repeat it.

[ top of page ]



Prealgebra Textbook [ go to top of page ]

I co-wrote a book: PREALGEBRA, Mathematics for a Variable World, (Daniel Bach and Patricia Leitner, 2nd Edition, 1996, Houghton Mifflin Company). This book bridges the gap between a background in arithmetic and the abstractions of algebra. It is quite well-reviewed and widely used, including Math 71 and 75 classes at DVC! (Click the title for more details.)
[ top of page ]




Resume Request?

Please request resume information via
e-mail, stating your needs and questions!

resume@dansmath.com
Back to top of page


[ home | info | meet dan | lessons | matica | ask dan | prob of wk ]

Dan's Math Podcast Dan's Prealgebra Textbook	Problem of the Week Free Online Math Lessons
Dan's Favorite Links Sample Questions and Answers	Dan's DVC History DVC College Website