Syllabus
Calculus I

Calculus I

MATH-2413

Summer 2012
05/29/2012 - 08/15/2012

Course Information

Section 002
Lecture
MTWTh 9:10AM - 10:25AM
NRG2 2244
Ahmad Kamalvand
akamalva@austincc.edu
(512) 223.3304

Office Hours

  • M T W Th
    NRG 2111
    8:40-9:10 am
    10:15-10:50 am
  • T Th
    NRG 2111
    4:45-5:15 pm

Course Requirements

 

There will be four (4) Major Examinations (including final exam) that will be given according to lecture schedule. If you miss an exam for any reason, it will count as a zero. You have the option of replacing the weakest exam grade with the final test grade.

 

 

 

Homework and/or daily quizzes         10%

 

3 major Exams (each 20%)                 60%

 

Final Exam (comprehensive)               30%

 

 

 

LETTER GRADES:

 

A         90-100

 

B         80-89

 

C         70-79

 

D         60-69

 

F          Below 60

Readings

 

Calculus: Concepts and Contexts, 4th ed., by James Stewart, Brooks/Cole 2010.

 

The text is sold in a full version and a shortened version -- the “Single Variable” version.  Either may be used for Calculus I and II.  Students who will go on to Calculus III will need the full version

Course Subjects

 

Week 1

  Chapter 1, 2.1

Week 2

2.2, 2.3, 2.4

 

Week 3

2.5, Exam1, 2.6, 2.7

 

Week 4

2.8, 3.1, 3.2, 3.3

 

Week 5

3.4, 3.5, 3.6, 3.7

 

Week 6

3.8*, 3.9, Exam2, 4.1*

 

Week 7

4.2, 4.3, 4.4

 

Week 8

4.5, 4.6, 4.7*

 

Week 9

4.8, Exam3, 5.1, 5.2

 

Week 10

5.3, 5.4, 5.5

 

Week 11

Review and Final Exam

 

 

 

 

Student Learning Outcomes/Learning Objectives

 

1           Find limits of functions (graphically, numerically and algebraically)

 

2           Analyze and apply the notions of continuity and differentiability to algebraic and transcendental functions.

 

3           Determine derivatives by a variety of techniques including explicit differentiation, implicit differentiation, and logarithmic differentiation. Use these derivative to study the characteristics of curves. Determine derivatives using implicit differentiation and use to study characteristics of a curve.

 

4           Construct detailed graphs of nontrivial functions using derivatives and limits.

 

5           Use basic techniques of integration to find particular or general antiderivatives.

 

6           Demonstrate the connection between area and the definite integral..

 

7           Apply the Fundamental theorem of calculus to evaluate definite integrals.

 

8           Use differentiation and integration to solve real world problems such as rate of change, optimization, and area problems.