dansmath - dvc page

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Diablo Valley College - 321 Golf Club Road - Pleasant Hill, CA - 94523 - www.dvc.edu
Dan The Man Bach >--><--<
[ Mathematics Instructor | Textbook Author | Multimedia&Web Design ]



DVC-related topics: (scroll down for more)

Courses Fall 2002: [ Math 110 | Math 121 | Math 193 ]

Older courses : [ Math 75 | Math 120 | Math 124 | Math 191 | Math 192 | Math 292 ]

My office is in the (semi - new) Math Building: MA-114.

Also try visiting:

Dan's Favorite Links
Problem of the Week!
Free On-line Math Lessons (Including CALCULUS!)
Paradoxes and Bogus Proofs
Sample Questions and Answers
Prealgebra Textbook
The World of Mathematica
Dan's DVC History
DVC Math Dept Website (draft)
DVC College Website


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

(c) 1997-2002 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 eighties. He has taught all levels 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 book out, with Patricia Leitner -- Prealgebra, Mathematics for a Variable World, used at DVC and colleges nationwide!

For more info see the DVC Math Dept 'mockup' page or dan's math@home page.

Before DVC, Dan had stints at U.C. Extension, Black Pine Circle Day School, the U.C.B. Gifted Program, Mills College, and U.C. Berkeley. If you're that interested, have a look at his resume.

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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, intro to graphing. See also my lessons.
Math 110 - Beginning Algebra - Formulas and equations, application problems,
Learn how to apply skills to factoring, grqaphing, and simplifying expressions.
Math 120 - Intermediate Algebra - Continuation of Math 110, with emphasis on the
connections between formulas, equations, factors, graphs. Lots of application problems.
Math 124 - Math for Liberal Arts - This is a course that addresses the question: "What is
math good for?" A variety of cool topics and a transferable course (to CSU)!
Math 191 - Prealculus - Includes a review of Trigonometry. See my lessons.
Math 192 - Calculus I - "Gateway to the scientific world." Try my calculus page.
Math 193 - Calculus II - "Exploring the scientific world." Try my calculus page.
Math 292 - Calculus III - "Analyzing the three-dimensional world." Try my calculus page.



Math 75 - Arithmetic and Prealgebra [ go to top of page ]

Subjects (Math 75):

Brief overview of arithmetic topics 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
Variables - who needs them?
Simplifying expressions with like terms
Recognizing and solving linear equations
Word problems - how to "get it"
Coordinate systems, charts, and graphs


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 ]

[ Subjects | Homework & Tests | Extra Credit ]


Subjects (Math 110): . . . back to math110 . . . View Full Course Outline (soon)

Review of order of arithmetic operations

Variables and like terms

Simplifying expressions

Solving equations

Graphing points and lines

Tackling word problems

Multiplying, factoring and dividing polynomials

Working with algebraic fractions and rational equations

Radical expressions and equations

Quadratic equations by factoring and the quadratic formula


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.

Homework and Tests (Math 110): . . . back to math110

Homeworks:

HW # 1 : (10 pts) Due Tues, Aug. 27, 2002:

1.1 . . . # 3 , 6 , 9 , . . . , 30 (by 3's) ; 35 , 40 , . . . , 75 (by 5's) ; 77 , 78 , 82 ;
1.2 . . . # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 95 ;
1.3 . . . # 3 , 6 , 9 , . . . , 75 ;
1.4 . . . # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 95 .
HW # 2 : (10 pts) Due Weds, Sept. 4, 2002:

1.5 . . . # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 80 ; 82 , 85 ;
1.6 . . . # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 105 ; 106 , 113 ;
1.7 . . . # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 120 ;
1.8 . . . # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 90 ; 93 , 96 , 103 , 106 .
HW # 3 : (10 pts) Due Weds, Sept. 11, 2002:

1Rev . # 5 , 10 , 15 , . . . , 85 ;
2.1 . . . # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 60 ;
2.2 . . . # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 70 ; 59 , 64 , 67 ;
2.3 . . . # 3 , 6 , 9 , . . . , 36 ; 40 , 45 , . . . , 75 , (39) .
HW # 4 : (10 pts) Due Tues, Sept. 17, 2002:

2.4 . . . # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 85 ;
2.5 . . . # 3 , 6 , 9 , . . . , 36 ; 40 , 45 , . . . , 70 ; 71 ;
2.6 . . . # 5 , 10 , 15 , . . . , 115 .

Quizzes and Tests

Quiz # 1 : Fri, Aug. 30, 2002 : (Sections 1.1 through 1.5)
Test # 1 : Fri, Sept. 6 : (Sections 1.1 through 2.3)
Quiz # 2 : Coming soon! Announced in class.

Extra Credit (Math 110): . . . back to math 110

1. Go to the 'College Success Math Workshops' - Schedule posted at my office
. . . 1 pt for each week you attend

2. Enter my Problem Of The Week contest!

3. Fill in the Four 4's chart in the classroom. Some restrictions apply . . .
. . . see directions on bulletin board ; limit two answers per student per day.

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

Subjects (Math 120):

Set Theory, Review of Basic Arithmetic and 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
Conic Sections and Geometric Applications
Combinatorics & Binomial Coefficients
Other topics to be included as time allows!

Math 121 - Trigonometry [ go to top of page ]

[ Subjects | Homework & Tests | Extra Credit ]

Subjects (Math 121): . . . back to math121 . . . View Full Course Outline (soon)

* Angles, Degrees, Pythagorean Theorem
* The Six Trig Functions on Circles

* Right Triangles and the Sine and Cosine

* Radian Measure and Circular Arclength

* Area of Sectors, Angular and Linear Velocity
* Identities, Formulas, and Trig Equations
* Vectors and Applications
* 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 10 hours per week for homework, reviewing notes, going
to the math lab, studying with friends, and asking questions at my office hours.

Homework and Tests (Math 121): . . . back to math121

Homeworks: ( ) means optional problem.

HW # 1 : (20 pts) Due Wed, Aug. 28, 2002:

1.1 . . . # 3 , 6 , 9 , . . . , 30 (by 3's) ; 35 , 40 , . . . , 65 (by 5's) ; 68

1.2 . . . # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 75 ; 77 , 78

1.3 . . . # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 70 ; (72).

HW # 2 : (20 pts) Due Wed, Sept. 11, 2002:

1.4 . . . # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 60

1.5 . . . # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 85

1.Test # 5 , 10 , 15 , . . . , 30

2.1 . . . # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 75

2.2 . . . # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 95

HW # 3 : (20 pts) Due Wed, Sept. 25, 2002:

2.3 . . . # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 65 ; 68 , 69
2.4 . . . # 1 ; 3 , 6 , 9 , . . . , 39 ; 34 , 44
2.5 , etc. . . . assigned in class

Quizzes and Tests

Quiz # 1 : Fri, Aug. 30, 2002 : (Sections 1.1 through 1.3)
Test # 1 : Monday, Sept. 9 (Chapter 1.1 - 2.1)

Extra Credit (Math 121): . . . back to math121

1. Go to the 'College Success Math Workshops' - Schedule posted at my office
. . . 1 pt for each week you attend

2. Enter my Problem Of The Week contest!

3. Watch for the famous "Four 4's" problem!

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

Subjects (Math 124):

Review of functions and graphing
Exponential and Log functions
Applications: World population, Radioactive decay
Compound interest and Regular deposits (annuities)
Geometry: Historical, Practical, and Recreational
Tessellations (tilings) and Polyhedra (solids)
Logic and basic concepts of Set Theory
Combinatorics (permutations and combinations)
Number Theory (prime factorizations, divisors)
Other topics to be included as well!

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 (Math 192):

. . . * Brief review of precalculus and trigonometry
. . . * Introduction to 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.

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

[ Subjects | Homework & Tests | Extra Credit ]

Subjects (Math 193): . . . back to math193 . . . View Course Outline (soon)

* 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; * Intro to Fourier Series (if time); * Introduction to Differential Equations; * Slope Fields, Solution Curves, Euler's Method; * Polar Coordinates Curves & Areas; * Parametric Equations . . . Conic Sections.

Homework and Tests (Math 193): . . . back to math193

Homeworks: ( ) means optional ; * means more challenging

HW #1 : (12 pts) Due Tues, Aug. 27, 2002:

6.1 . . . # 1 ; 3 , 6 , 9 , . . . , 27 ; 30 , 35 , . . . , 45 ; 48
6.2 . . . # 3 , 6 , 9 , . . . , 30 ; 35 , 40 , . . . , 65* (66)
6.3 . . . # 2 ; 3 , 6 , 9 , . . . , 42 ; 43 , (44)

HW #2 : (12 pts) Due Weds, Sep. 4, 2002:

6.4 . . . # 2 ; 3 , 6 , 9 , . . . , 24 ; 25 and/or 26
6.5 . . . # 2 ; 3 , 6 , 9 , . . . , 21 ; 22
6.Rev. # 2 ; 3 , 6 , 9 , . . . , 27 ; 29 , 30

HW #3 : (12 pts) Due Weds, Sep. 4, 2002:

7.1 . . . # 1 ; 3 , 6 , 9 , . . . , 36 ; 40 , 45 , . . . , 60 ; 64
7.2 . . . # 3 , 6 , 9 , . . . , 18 ; 20 , 25 , . . . , 60 ; 54 , 62 , (64)

HW #4 : (12 pts) Due Fri, Sep. 20, 2002:

7.3 . . . # 2 ; 3 , 6 , 9 , . . . , 39 ; 31a , 40
7.4 . . . # 1 ; 3 , 6 , 9 , 12 + more
7.5 . . . # later

Quizzes and Tests:

Quiz #1 : Tuesday , Sept 3
Test #1 : Wednesday , Sept 11
Quiz #2 : Announced here and/or in class

Extra Credit (Math 193): . . . back to math 193

1. Enter my Problem Of The Week contest!

2. Find a good calculus tutorial website and write (hand in or e-mail me)
. . a description of its features and your rating of its quality & value.
. . Deadline Mon, October 14. Up to 4 pts extra credit depending on thoroughness.

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.

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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!

dbach@dvc.edu
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