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:

 A graphing calculator is required. (TI – 83/84 is advised)

 Connect® software is required

Book: SMITH and MINTON, Calculus Early Transcendental Functions, 4th Ed.ISBN:0077864417   (Is NOT required.)

Instructor:  Richard Porter      

E-mail: porterr@mccc.edu 

Office: LA 129 

Office Hours:  See Web Page

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

Extension 3826

Phone: 609-61 MATH 1

Grading:

Quizzes

~20%

Tests

~15%

Midterm

20%

Project/Posts

20%

Final*

25%

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

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.

All exams/midterm/final require worksheets showing all work including calculator steps, and failure to do so will result in lost credit.

Homework is weighted, redo-able, and help is available on Connect

  More important problems are given more value. Grades are not counted.

Quizzes are weighted, redo-able, but help is not available on Connect

  Test Reviews are optional culmination of quiz questions.

   Practice Tests are redo-able and counted with quizzes but weighted heavier

Tests are weighted, not redo-able, and help is not available on Connect

 

Topics:

Week

Dates

Topics

Projectwork/ Discussions

HW

Quiz

/Test

1

9/6

Review of Functions

Personal Introductions

Day 1

.

.

.

  9/11

Computing Limits

.

Day 2

.

.

Quiz1

2

9/13

End Behavior

Rates of Change

Day 3

.

.

Quiz 2

9/18

Definition of Limits

.

R1

PT1

Test 1

3

9/20

Continuity

Limits and Continuity

Day 4(-6)

.

.

.

  9/25

Slopes and the Derivative

.

Day 4(-6)

.

.

Quiz 3

4

9/27

Techniques of Differentiation

Derivative Rules

Day 7

.

.

.

  10/2

Quotient Rule / Transcendental

.

Day 8

.

.

Quiz 4

5

10/4

Chain Rule

More Derivative Rules

Day 9

.

.

.

  10/9

Limits of Trig Functions

.

Day 10

.

.

Quiz 5

6

10/11

Implicit Diff., Hyperbolics, MVT

Mean Value Theorem

Day 11

.

.

.

  10/16

Inverse, Log and Exponential

.

Day 12

R2

PT2

Quiz 6

7

10/18

Differential ,Newton’s Method,

Error

Day 13

.

.

.

  10/23

Related Rates

.

Day 14

.

.

Quiz 7  

Test 2 on ProctorU®

.

Test 2

8

10/25

L’Hopital’s Rule

Analysis of Functions

Day 15

.

.

.

  10/30

Analysis of Functions

.

Day 16

.

.

Quiz 8

9

11/1

Optimization

.

Day 17

 

.

.

  11/6

Area, Definite/ indefinite integrals

.

Day 18

RM

PM

Quiz 9

10

11/8

MIDTERM on ProctorU®

.

.

.

.

 

11/13

Average Value

Area and Ave. Value

Day 19-22

.

.

Quiz 10

11
11/15

Sigma Notation, 

.

.

.

.

 

11/20

Area as a Limit

Area Approx. and FTC

Day 23

.

.

.

12
11/27

Fundamental Theorem

.

Day 24

.

.

Quiz 12

 

11/29

Integration by Substitution

Poster and Review

Day 25

.

.

.

13
12/4

Evaluating Definite Integrals

.

Day 26

R3

.

Quiz 13

 

12/6

Project Presentations

Final Presentations

 

PT3

.

14
12/11

REVIEW

.

.

.

Test 3

 
12/13

Final Review

.

.

.

.

15

12/18

FINAL EXAM on ProctorU®

.

.

.

.

 

  

Mercer County Community College is committed to ensuring the full participation of all students in all activities and programs. If you have a documented differing ability or think that you may have a differing ability that is protected under the ADA or Section 504 of the Rehabilitation Act, please contact Arlene Stinson in LB216 {stinsona@mccc.edu} for information regarding academic accommodations and additional support services.

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