PROF PORTER HONORS CALCULUS at Mercer County Community College
MAT 151 : Calculus 1 The Study of Change COURSE OUTLINE

Catalog Description:

This is the first course in the standard integrated calculus sequence. Topics covered include differentiation and integration of algebraic and

trigonometric functions. Applications include curve sketching, related rates, maxima and minima, and approximations, and calculation of areas

and volumes of revolution. There is an emphasis on the theory of limits and continuity.

Prerequisites: MAT146 or MAT116 with minimum C grade

Required Materials:

Pilot Book: SMITH and MINTON, Calculus Early Transcendental Functions, 4th Ed.

ISBN:0077864417 – Smith/Minton with connect plus and aleks prep

or 007723586x – connect plus

A graphing calculator is required.

TI – 83/84 is strongly recommended

Instructor: Richard Porter

E-mail: porterr@mccc.edu

Office: LA 129

Office Hours: See Web Page

Web Page: http://www.mccc.edu/~porterr

Extension 570-3826

Phone: 609-61 MATH 1

Grading:

Homework/Classwork

25%

Midterm

20%

Project 25%

Final*

30%

Total

100%

*Must Receive a 50% on Final to pass course

93%-100%........A

90%-92%..........A-

87%-89%..........B+

83%-86%..........B

80%-83%..........B-

77%-79%..........C+

70%-76%..........C

60%-69.5%.......D

<59.5%.............F

Topics:

Day

Dates

Topics

1

1/20

Review of Functions

2

1/22

Computing Limits

3

1/27

End Behavior

4

1/29

Definition of Limits

5

2/3

Continuity

6

2/5

Slopes and the Derivative

7

2/10

Techniques of Differentiation

8

2/12

Quotient Rule / Derivatves of Trig

9

2/17

Chain Rule

10

2/19

Limits of Trig Functions , Derivatives of Logs and Exponents

11

2/24

Implicit Differentiation, Hyperbolic Trig, MVT

12

2/26

Inverse, Log and Exponential Functions Trig Functions and Derivatives

13

3/3

Local Approximation, Differentials,Newton’s Method,

14

3/5

Related Rates

15

3/10

L’HopitalsRule

16

3/12

Analysis of Functions

17

3/24

Review

18

3/26

Review or Midterm

19

3/31

Midterm

20

4/2

Analysis of Functions

21

4/7

Graphing and the Calculator,Max/ Min,

22

4/9

Area, Indefinitie Integral

23

4/14

Sigma Notation, Area as a Limit

24

4/16

Definite Integral

25

4/21

Fundamental Theorem of Calculus

26

4/23

Average Value

27

4/28

Project Presenttions

28

4/30

Integration by Substition

29

5/5

Evaluating Definite Integrals

30

5/7

Review

5/14

HONORS FINAL EXAM 2-5 PM in SC211

 

Mercer County Community College is in compliance with both the ADA and section 504 of the Rehabilitation Act.

If you have, or believe you have, a differing ability that is protected under the law please see Arlene Stinson

in LB 216{570-3525{stinsona@mccc.edu} for information regarding support services.

Make-ups: No make-ups are given for any reason. When valid excuses are produced in writing, work may be replaced

by equivalent work from the final exam.

Exams: Showing all work is required even for calculator problems.