Math 191-02 (23423) Spring 2007 CSUDH

Calculus I SBS B209 MW 5:30-6:50 PM, WH C155 F 5:30-7:00 PM Dr. Sally Moite

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

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

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

Lab You are required to bring your calculator and textbook to the lab sessions.

Office Hours MW 3-4PM, 7-8PM NSM E116 Web Page http://www.csudh.edu/math/smoite

Tutoring C.L.A.S.S. SCC 1102, AMP TBA

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 May 16 5:30-7:30 PM – Cumulative

15% Lab Attendance and Participation

5% Extra Credit TBA

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 Jan 22 Introduction, 1.1 Functions Review

Wed Jan 24 1.2 A Catalog of Essential Functions

Fri Jan 26 Lab: Mathematical Induction and Problem Solving

Mon Jan 29 1.3,1.4 The Limit of a Function, Calculating Limits

Wed Jan 31 1.5 Continuity

Fri Feb 2 Lab: Using Mathematica

Mon Feb 5 1.6 Limits Involving Infinity

Wed Feb 7 2.1 Derivatives and Rates of Change

Fri Feb 9 Lab: Limits – Precise Definition

Mon Feb 12 2.2 The Derivative of a Function

Wed Feb 14 2.3, 2.4 Basic Differentiation Formulas, The Product and Quotient Rules

Fri Feb 16 Lab: Who were They? Newton, Leibniz et al

Mon Feb 19 Presidents’ Day

Wed Feb 21 2.5 The Chain Rule, Review

Fri Feb 23 Test

Mon Feb 26 2.6, 2.7 Implicit Differentiation, Related Rates

Wed Feb 28 2.8 Linear Approximations and Differentials

Fri Mar 2 Lab: Problems - Limits and Continuity

Mon Mar 5 3.1, 3.2 Maximum and Minimum Values, The Mean Value Theorem

Wed Mar 7 3.3 Derivatives and the Shapes of Graphs

Fri Mar 9 Lab: Projects 2.3 Roller Coaster, 2.5 When Should a Pilot Start Descent

Mon Mar 12 3.4, 3.5 Curve Sketching, Optimization Problems

Wed Mar 14 3.6 Newton’s Method

Fri Mar 16 Lab: Projects 2.8 Taylor Polynomials, 3.1 Rainbows

Mon Mar 19 3.7 Antiderivatives

Wed Mar 21 4.1 Areas and Distances

Fri Mar 23 Lab: Graphing Calculators – What to Believe

Mon Apr 2 4.2 The Definite Integral

Wed Apr 4 4.3 Evaluating Definite Intervals

Fri Apr 6 Lab: Programming Calculators

Mon Apr 9 4.4 The Fundamental Theorem of Calculus

Wed Apr 11 4.5 The Substitution Rule, Review

Fri Apr 13 Test

Mon Apr 16 5.1, 5.2 Inverse Functions, The Natural Logarithmic Function

Wed Apr 18 5.3 The Natural Exponential Function

Fri Apr 20 Lab: 3.5 Shape of a Can, 4.3 Area Functions

Mon Apr 23 5.4 General Logarithmic and Exponential Functions

Wed Apr 25 5.5 Exponential Growth and Decay

Fri Apr 27 Lab: Theorems, MVT, Fundamental Theorem etc.

Mon Apr 30 5.6, 5.7 Inverse Trigonometric Functions, Hyperbolic Functions

Wed May 2 5.8 Indeterminate Forms and L’Hospital’s Rule, Review

Fri May 4 Lab: Projects 4.4 Calculus and Baseball, 5.6 Where to Sit at the Movies

Mon May 7 Test

Wed May 9 Review

Fri May 11 Lab: Concept Checks and True-False Quizzes Ch 1-5