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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.

 

 

 
 
 
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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 ]

Show me details on the Bach/Leitner textbook!


Expect to spend about 2 hours outside of class for each hour in class!
That's a minimum of 8 hours per week for homework, reviewing notes, going
to the math lab, studying with friends, and asking questions at my office hours.
 
 
Math 110 - Beginning Algebra [ go to top of page ]

 

= listen to dansmathcast = my math podcast ! =
 
Subjects (Math 110): [ back to Math 110 ]
 
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 ]


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 ]
 

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

[ Subjects | Homework | Tests | Extra Credit ]

 

Subjects (Math 120, Fall 2007):

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 ]


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


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 ]

 

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

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

 
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) :
 
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 ]
 
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 ]


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 ]
 

Math 191 - Precalculus [ go to top of page ]

Subjects (Math 191):

* Brief review of algebra basics
* Introduction to Mathematica
* Coordinates, functions, graphs
* Polynomial and rational functions and graphs
* Curve sketching and analysis, computer-assisted graphing
* Solving equations: linear, quadratic, linear systems
* Exponential and logarithmic functions, properties, and graphs
* Review of trigonometry (you must take trig before this class)
* Trigonometric graphs, equations, identities, applications
* Conic sections: parabolas, circles, ellipses, and hyperbolas
* Polar coordinates and intro to 3D graphing
* Additional topics (Binomial Theorem, Induction, Number Theory) as time permits
 
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 as king questions at my office hours.

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 ]


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 ]

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 ]

This is a fun, challenging, ongoing contest!
It started November 21, 1997, with Problem 1.
It's now up to (at least) Problem 154, and in its
fifth 'season.' Send your answers (or best attempts)
by e-mail! Details, old problems, current leaders:
. . . see the Problem of the Week page.
 

Extra Credit for DVC Students! [ go to top of 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.

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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.)
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Resume Request?
 
Please request resume information via
e-mail, stating your needs and questions!
 
resume@dansmath.com
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