MATH 2450 Syllabus                         Fall 2009                                               egreen@ngcsu.edu

Dr. Green                                                                                                                              Newton Oakes 222

Calculus I                                                                                                                             864-1809

 

Office Hours:    9:00 – 11:00  MWF, 1:15 – 2:15   TR, 4:30 – 5:30  MW ,  or by appointment.

 

                                                                                                                                                                               

Prerequisite:  Grade of C or above in MATH 1113 or approval of the department head. 

 

Catalog Description:  An introduction to differential calculus.  Topics include limits, differentiation of algebraic and trigonometric functions, applications of derivatives, introduction to plane parametric curves, antidifferentiation, simple differential equations, the area under a curve, the fundamental theorem of calculus, and differentiation and integration of exponential and logarithmic functions.

 

Course Objectives:  After completion of the course the student will be able to:

·         Describe the behavior of a function using limits.

·         Investigate the value of a limit by using numerical, graphical, and analytic techniques.

·         Evaluate limits exactly, using analytic methods.

·         Prove a limit value for simply functions by using the epsilon-delta definition of a limit.

·         Investigate the global behavior of a function by investigating its continuity.

·         State the definition of the derivative and use it to find the derivatives of simple functions.

·         Analyze the behavior of a function by using derivatives, asymptotes, and “rules of thumb” concerning its behavior at infinity.

·         Interpret the value of a derivative as a rate of change.

·         Find derivatives of algebraic, exponential, logarithmic, and trigonometric functions by using the basic differentiation rules.

·         Find the derivative of an implicitly defined function.

·         Solve problems which involve determining how rates are related to each other.

·         Determine the reasonableness of a derivative by relating the graph of the derivative to the graph of the function.

·         Find the local and global maxima and minima of a function.

·         Solve applications involving optimization.

·         Determine the concavity and inflection points of the graph of a function.

·         Approximate the solutions of nonlinear equations by using Newton’s Method.

·         Estimate the value of a function by using the linear approximation method.

·         Determine the direction and velocity of motion along a parametric curve in two-dimensions.

·         Find a function whose derivative is given.

·         Solve application problems involving simple differential equations.

·         Interpret the solution of an application problem in the context of the application.

·         Find antiderivatives of functions which are algebraic, exponential, logarithmic, and/or trigonometric.

·         Approximate the area under a curve by using Riemann sums.

·         Evaluate definite integrals by using the fundamental theorem of calculus. 

 

Methods of  Instruction:  The methods of instruction are determined by the instructor; however, the instructor is expected to use a variety of methods.  These methods may include, but are not limited to lecture; problem-solving sessions with informal assessment by the student or instructor; discussion; group projects; timely feedback from test, quiz, or project results (formative assessment); question and answer; computer or calculator based explorations; and student presentations.  Students will be encouraged to assess and monitor their own problem-solving process to determine when an error has been made or a new strategy should be used.

 

Metacognitive Model and Teacher Education Program Competencies:   

The NGCSU Secondary Mathematics Education Program prepares teachers to assume within the school community the roles of Decision-Maker, Facilitator, and Leader as identified in the metacognitive model.  Twelve Teacher Education Program competencies reflecting the model are aligned to a specific role.  Overlap into more than one role and mathematics course may occur.  Current research and professional standards identify these competencies as important for effective teaching (NBPTS and ASCD Framework). 

 

Decision-Maker

Facilitator

Leader

Assessment

Individual Differences

Ethical Perspectives

Planning

Subject Matter Knowledge

Reflection/Metacognition

Problem Solver

Communication

Professional Leadership

Methods, Materials, Resources

Classroom Management

Research & Evaluation

 

Evaluation:     Test average is the average of  4 tests and the Question of the Week total

                           Final average:  Test average counts 2/3  (1/3 if final exam score is higher)

                                                  Final Exam counts 1/3    (2/3 if higher than test average)

                         2 extra credit computer assignments will be given. .  Points earned will be added to a test grade.

 

Course Content: See above and the calendar

 

Knowledge Base: 

 

1.  Required Text:  At the level of Stewart, Calculus, 6th edition, Brooks/Cole, 2008. 

2.  Optional Text:  Solutions Guide.

3.  Library resources: 

 

·         Apostol, Calculus, Volume I, Blaisdell, Waltham, MA, 1967.

·         Dudley, Readings for Calculus, MAA, 1993.

·         Dunham, The Mathematical Universe: An Alphabetical Journey Through the Great Proofs, Problems, and Personalities, Wiley & Sons, New York, 1994.

·         Halmos, Problems for Mathematicians, Young and Old, MAA, Washington, D.C., 1991.

·         Hight, A Concept of Limits, Prentice-Hall, Englewood Cliffs, N.J., 1966.

·         Nolan, Women in mathematics: scaling the heights, MAA, 1997.

·         Parker, She Does Math!, MAA, 1995.

·         Sawyer, What is Calculus About?, Random House, 1961.

·         Sterrett, 101 careers in mathematics, MAA, 1996.

·         Women, Minorities and Persons with Disabilities in Science and Engineering,  National Science Foundation, 1999 (NS 1.49).

·         Weaver, Conquering calculus: the easy road to understanding mathematics, Plenum, 1998.

·         Young, Excursions in calculus: an interplay of the continuous and the discrete, MAA, 1992.

·         Yount, A to Z of women in science and math, Facts on File, 1999.

 

4.  World Wide Web resources:   

 

·         Waterloo Maple’s Student Center - http://www.maplesoft.com/academic/students/index.aspx

·         Eric Weisstein’s World of Mathematics (Encyclopedia of Mathematics) - http://mathworld.wolfram.com

·         Math Nerds – www.mathnerds.com

·         SOS Mathematics – www.sosmath.com

·         Transformations - www.utc.edu/~cpmawata

·         Intermath – www.intermath-uga.gatech.edu/

·         The Geometry Center - http://www.geom.uiuc.edu

·         Project Interactivate -  www.shodor.org/interactivate 

·         Multicultural Pavilion - www.edchange.org/multicultural

 

5.     Technology Resources:     

  • A graphing calculator such as a TI-83 Plus
  • Software: Maple.

 

General Expectations:  The student is expected to abide by the university’s attendance policy and honor code.  Attendance:   A maximum of  7 absences are allowed.   If you exceed the maximum allowance and are failing, I may assign you a grade of WF.  If you miss a test for a valid reason, you must notify me on the day of the test or earlier. 

Withdrawal Policy:  Students who initiate withdrawal prior to the withdrawal deadline at midterm, will receive a grade of W (withdrew passing).

 

 

Disabilities and Accommodations:  North Georgia College and State is committed to equal access to its programs, services and activities for people with disabilities.  If you believe that you have a disability requiring an accommodation, reasonable prior notice needs to be given to the instructor and the Office of Student Disability Resources.  In this case, contact Elizabeth McIntosh, Coordinator, Student Disability Resources at 122 Barnes Hall, 867-2782, emcintosh@ngcsu.edu.

 

Class Evaluations:  Class evaluations at NGCSU are now conducted on-line through Banner.  Evaluation of the class is considered a component of the course and students will not be permitted to access their course grade until the evaluation has been completed.  The evaluations will be accessible beginning one week prior to Final Exam week.

 

Math 2450 Assignment Sheet

 

                                                                                      Text:  Stewart, Calculus, 6th edition

Lesson

Read

Problems

1

2.1

p.65/1 – 7 odd 

2

2.2

p.74/1 – 39 odd 

3

2.3

p.84/1 – 47 odd, 53 – 61 odd

4

2.5

p.105/1 – 53 odd, 60 

5

3.1

p.119/1 – 29 odd 

6

3.2

p.131/1 – 15 odd, 17 – 28 all, 33 – 36 

7

3.3

p.144/1 – 45 odd,  51 – 61 odd, 62, 72, 82, 83, 88, 90, 91, 96

8

3.4

p.154/1 – 47 odd

9

3.5

p.161/1 – 55 odd, 60, 75, 78 

10

3.6

p.169/1 – 29 odd,  33, 35, 42, 48 

11

3.7

p.179/1 – 21 odd, 25, 28

12

3.8

p.186/1 – 43 odd 

13

3.9

p.193/1 – 31 odd, 34

14

4.1

p.211/1 – 57 odd,  61, 72

15

4.2

p.219/11 – 17 odd

16

4.3

p.227/1 – 39 odd,  44, 53, 59

17

4.4

p.240/1 – 49 odd, 56, 60

18

4.5

p.248/1 – 37 odd, 43, 47

19

4.7

p.262/1 – 39 odd,  47

20

4.8

p.272/1 – 21 odd,  28, 31

21

4.9

p.279/1 – 41 odd,   51 – 59 odd, 60, 61, 66

22

5.1

p.298/1 – 5 odd,  11, 13 

23

5.2

p.310/1 – 11 odd,  33 – 41 odd,  49, 50, 53

24

5.3

p.321/1 – 11 odd, 19 – 45 odd

25

5.4

p.329/1 – 39 odd, 45 – 53 odd, 56

26

5.5

p.338/1 – 55 odd

27

7.2

p.402/31 – 57 odd, 73 – 82 all

28

7.4

p.419/1 – 53 odd, 60, 71 – 78 all, 82

 

 

 

 

 

 

Math 2450      Fall Semester 2009

Monday

Tuesday

Wednesday

Thursday

Friday

August 17

 

18

19

2.1

20

21

2.2

24

2.3

25

2.3

26

2.3

27

28

2.5

QOTW

31

2.5

September 1

3.2

QOTW

2

3.2

3

4

Review

QOTW

7

Labor Day

 

8

Test 1

9

3.3

10

11

3.3

14

3.4

 

15

3.5

16

3.5

17

18

3.6

QOTW

21

3.7

 

22

3.8

23

3.8

24

25

3.8

QOTW

28

3.9

 

29

3.9

30

4.1

October 1

2

4.1

QOTW

5

Review

 

6

Test 2

7

4.2, 4.3

8

9

Fall Break

12

4.3

13

4.3

14

4.3

15

16

4.4

QOTW

19

4.4

20

4.7

21

4.7

22

23

4.7

QOTW

26

4.8

27

4.9

28

4.9

29

30

5.5

QOTW

November 2

Review

 

3

Test 3

4

5.5

5

6

5.1, 5.2

QOTW

9

5.3

 

10

5.4

11

5.5

12

13

7.2

QOTW

16

7.2

 

17

7.4

18

7.4

19

20

7.4

QOTW

23

Review

24

Test 4

25

26

Thanksgiving Holiday

27

30

Review

December 1

Review

2

Academic Review Day

3

4

7

Final Exam 

8:00 – 10:00

8

9

10

11