MATH 101 - Calculus I (4-0-4)

GRADES FINAL GRADES
Homework  FirstMajor Solution Quizzes Solution Q#7    
  Second Major Solution Final Solution Syllabus    

New Second Major Exam

Syllabus

Catalog Description

Limits and continuity of functions of a single variable.  Differentiability. Techniques of differentiation.   Implicit differentiation.  Local extrema, first and second derivative tests for local extrema.  Concavity and inflection points.  Curve sketching.  Applied extrema problems.  The Mean Value Theorem and applications.

Prerequisite: One year preparatory mathematics or its equivalent  

Textbook:  Calculus, A New Horizon by Howard Anton, sixth edition (1999).
 

Week(s)

Dates

Sec.

Topics

1

 June 18 – 19

 

2.1

 

Limits (An intuitive Introduction)

 

2

June  22 – 27

 

2.2

2.3

2.4

2.5

Limits (Computational Techniques)

Limits (Discussed more rigorously)

Continuity

Limits and Continuity of Trigonometric Functions

3

June 29 –July 3

3.1

3.2

3.3

3.4

Tangent Lines and Rates of Change

The Derivative

Techniques of Differentiation

Derivatives of Trigonometric Functions

4

July 5 – July 10

3.5

3.6

4.1

4.2

The Chain Rule

Local Linear Approximation; Differentials

Inverse Functions

Logarithmic and Exponential Functions

5

July12 –July 17

4.3

4.4

4.5

4.6

Implicit Differentiation

Derivatives of Logarithmic and Exponential Functions

Derivatives of Inverse Trigonometric Functions

Related Rates

6

July 19 – July 24

4.7

5.1

5.2

L’Hopital’s Rule; Indeterminate Forms

Increasing, Decreasing, and Concavity

Relative Extrema; First and Second Derivative Tests

7

July 27 – July 31

5.3

6.1

6.2

6.3

Applying Technology and the Tools of Calculus

Absolute Maxima and Minima

Applied Maximum and Minimum Problems

Rectilinear Motion

8

Aug.3 – Aug. 7

6.4

6.5

Newton’s Method

Rolle’s Theorem; Mean-Value Theorem

Review

9

Aug.10 –Aug. 12

 

Final exams

 

 

 

 

 

 

 

 

                 

 

 

   Grading Policy: First Major 15 points, Second Major 15 points, Homework 5 points, Quizzes and Matlab quiz 20 points, Final 35 points.