Math 191-02 (40867) Fall 2006 CSUDH

Calculus I NSM D123 MW 5:30-6:50 PM, WH C155 F 4-5:30PM Dr. Sally Moite

Text Essential Calculus by James Stewart, Thompson Brooks/Cole, 2007.

Supplement Just-In-Time Algebra & Trig for Calculus, 3rd Ed, by G. Mueller and R. Brent 2005

Calculator A TI-83, 83 Plus, 84, 84-Plus, 86, 89, 92 or Voyage 200 Graphing Calculator is required.

Headsets You are required to bring ear phones to the lab sessions. (Also calculator and textbook.)

Office Hours TTh 7-8P NSM E116, F 5:30-7P Web Page http://www.csudh.edu/math/smoite

Tutoring C.L.A.S.S. SCC 1102, AMP LIB A-103 W 1-4PM F 11:30AM-2:30PM

Grading 5% Homework problems on the board, from the section covered in the prior session. (4 per term required).

5% Homework problems in parentheses handed in.

51% Tests (3, 17% each) No makeup tests will be given.

24% Final – Wednesday Dec 13 5:30-7:30 PM – Cumulative

15% Lab Attendance and Participation

5% Extra Credit Writing Project 2.1 Tangents or 4.4 Invention of Calculus or 5.8 L’Hospital’s Rule

Grade Scale A 90, A- 88, B+ 85, B 80, B- 78, C+ 75, C 70, C- 68, D+ 65, D 60

Course Topics and Preliminary Schedule (Test Dates will not change.)

Mon Aug 28 Introduction, 1.1 Functions Review

Wed Aug 30 1.2 A Catalog of Essential Functions

Fri Sep 1 Lab: Mathematical Induction and Problem Solving

Mon Sep 4 Labor Day

Wed Sep 6 1.3,1.4 The Limit of a Function, Calculating Limits

Fri Sep 8 Lab: Using Mathematica

Mon Sep 11 1.5, 1.6 Continuity, Limits Involving Infinity

Wed Sep 13 2.1 Derivatives and Rates of Change

Fri Sep 15 Lab: Limits – Precise Definition

Mon Sep 18 2.2 The Derivative of a Function

Wed Sep 20 2.3 Basic Differentiation Formulas

Fri Sep 22 Lab: Who were They? Newton, Leibniz et al

Mon Sep 25 2.4 The Product and Quotient Rules, Review

Wed Sep 27 Test, 2.5 The Chain Rule

Fri Sep 29 Lab: Problems - Limits and Continuity

Mon Oct 2 2.6, 2.7 Implicit Differentiation, Related Rates

Wed Oct 4 2.8 Linear Approximations and Differentials

Fri Oct 6 Lab: Projects 2.3 Roller Coaster, 2.5 When Should a Pilot Start Descent

Mon Oct 9 3.1, 3.2 Maximum and Minimum Values, The Mean Value Theorem

Wed Oct 11 3.3 Derivatives and the Shapes of Graphs

Fri Oct 13 Lab: Projects 2.8 Taylor Polynomials, 3.1 Rainbows

Mon Oct 16 3.4, 3.5 Curve Sketching, Optimization Problems

Wed Oct 18 3.6 Newton’s Method

Fri Oct 20 Lab: Graphing Calculators – What to Believe

Mon Oct 23 3.7 Antiderivatives

Wed Oct 25 4.1 Areas and Distances

Fri Oct 27 Lab: Programming Calculators

Mon Oct 30 4.2 The Definite Integral

Wed Nov 1 Test, 4.3 Evaluating Definite Intervals

Fri Nov 3 Lab: 3.5 Shape of a Can, 4.3 Area Functions

Mon Nov 6 4.4 The Fundamental Theorem of Calculus

Wed Nov 8 4.5 The Substitution Rule

Fri Nov 10 Veterans Day

Mon Nov 13 5.1, 5.2 Inverse Functions, The Natural Logarithmic Function

Wed Nov 15 5.3 The Natural Exponential Function

Fri Nov 17 Lab: Theorems, MVT, Fundamental Theorem etc.

Mon Nov 20 5.4 General Logarithmic and Exponential Functions

Wed Nov 22 5.5 Exponential Growth and Decay

Fri Nov 24 Thanksgiving

Mon Nov 27 5.6, 5.7 Inverse Trigonometric Functions, Hyperbolic Functions

Wed Nov 29 5.8 Indeterminate Forms and L’Hospital’s Rule, Review

Fri Dec 1 Lab: Projects 4.4 Calculus and Baseball, 5.6 Where to Sit at the Movies

Mon Dec 4 Test

Wed Dec 6 Review

Fri Dec 8 Lab: Concept Checks and True-False Quizzes Ch 1-5