dansmath > **dvc page**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****Paradoxes and Bogus Proofs****Sample Questions and Answers****Prealgebra Textbook****The World of Mathematica****Dan's DVC History****DVC Math Dept Website****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**[**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)

- 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 attend2. 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** [**
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]

**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** [**
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**[ 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 classfor each hour in class!- That's a minimum of
10 hours per weekfor 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)

1. Go to the 'College Success Math Workshops' - Schedule posted at my office. . . 1 pt for each week you attend2. Enter my Problem Of The Week contest!3. Watch for the famous "Four 4's" problem!

**Math 124 -
Math for Liberal Arts** [** **go
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**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** [**
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**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
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**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
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[ 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.

**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 ; 486.2 . . . # 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 266.5 . . . # 2 ; 3 , 6 , 9 , . . . , 21 ; 226.Rev. # 2 ; 3 , 6 , 9 , . . . , 27 ; 29 , 30HW #3 : (12 pts) Due Weds, Sep. 4, 2002:

7.1 . . . # 1 ; 3 , 6 , 9 , . . . , 36 ; 40 , 45 , . . . , 60 ; 647.2 . . . # 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 , 407.4 . . . # 1 ; 3 , 6 , 9 , 12 + more7.5 . . . # 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
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**This is a fun, challenging, ongoing contest!****It started November 21, 1997, with Problem 1.****It's now up to**(at least)**Problem 151, 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!
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**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
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**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.

**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 Back to top of page **[ home | info | meet dan | lessons | matica | ask dan | prob of wk ]**