MATH 2253
CREDIT: 4 hours.
PREREQUISITE: A grade of C or higher in MATH 1113 or placement by the Mathematics Assessment Test.
COURSE DESCRIPTION: A first course in calculus. Topics include limits, derivatives explored in various contexts and applications of differentiation (maximum and minimum problems, curve sketching, and optimization problems), integration techniques and applications of integration (area, volume, work, average value, arc length, surface area, volume and work). Other topics may be included at the discretion of the instructor.
TEXT: Calculus, 7^{th} e, James Stewart (Brooks/Cole).
CALCULATOR: See instructor for calculator policy.
GOALS: Upon completing this course students should be able to:
� Find limits of functions and determine continuity of functions.
� Find derivatives of algebraic and some trigonometric functions, and use derivatives to solve applied problems.
� Find integrals of some algebraic and trigonometric functions, and use integrals to solve applied problems
NOTE: The pace may vary, so the following is a weekly rather than daily outline.
MATH 2253 CALCULUS I
COURSE OUTLINE
WEEK 
SECTIONS/TOPICS 
SAMPLE HOMEWORK ASSIGNMENTS 
1 
pp. 48: 1, 3, 4, 5, 6, 7, 9 pp. 59: 1, 3, 5, 7, 9, 11, 13, 17, 19, 29, 31, 32, 35, 39 

2 
pp. 69: 1, 6, 7, 9, 10, 11, 15, 17, 21, 27, 41, 51, 53, 60 pp. 91: 1, 3, 7, 9, 13, 15, 19, 23, 27, 33, 34, 35, 42, 43, 46, 51, 53 

3 
pp. 110: 1 21 odd, 24, 27, 29, 32, 35, 39, 43, 45, 48. pp. 122: 1, 3, 5, 6, 13, 19, 23, 24, 25, 27, 35, 38, 41, 45, 50 

4 
2.4: Derivatives of Trigonometric Functions Exam 1 
pp. 136: 5, 7, 9, 11, 14, 15, 17, 23, 25, 27, 28, 29, 34, 35, 51, 58, 59, 62, 64 pp. 146: 3, 5, 7, 9, 13, 15, 17, 18, 22, 23, 26, 30, 35, 39, 42, 45, 46 
5 

pp. 155: 7, 9, 13, 15, 19, 22, 25, 34, 47, 48, 49, 52, 53, 68, 77 pp. 161: 6, 9, 12, 14, 16, 20, 22, 28, 34, 53, 56, 59 
6 
pp. 173: 1, 5, 6, 8, 9, 15, 17, 18, 19, 29, 30 pp. 181: 3, 4, 5, 7, 9, 10, 11, 14, 16, 23, 24, 27, 31, 35, 40 

7 
pp. 205: 1, 3, 5, 9, 12, 17, 22, 25, 28, 32, 35, 38, 45, 49, 51, 54, 55, 65 pp. 213: 3, 4, 6, 10, 14, 16, 20, 22, 24, 29, 31 

8 
pp. 220: 1, 3, 7, 8, 9, 12, 13, 15, 17, 29, 35, 37, 38, 39, 58, 60, 68, 70 pp. 235: 1,3, 5, 9, 13, 14, 17, 19, 23, 25, 26, 29, 34, 35, 37, 42, 45, 49, 51, 53, 57 

9 
3.5: Summary of Curve Sketching 3.6: Graphing with Calculus and Calculators Exam 2 
pp. 243: 1, 5, 11, 12, 15, 19, 20, 23, 29, 30, 34, 35, 36, 46, 47, 52, 55 pp. 249: 1, 5, 6, 7, 9, 20 
10 
3.9 Antiderivatives 
pp. 256: 3, 6, 7, 9, 16, 21, 24, 29, 33, 35, 38, 39, 47, 48, 64, 69 pp. 273: 3, 5, 13, 15, 19, 21, 23, 25, 27, 29, 39, 43, 51, 53, 57, 63 pp. 293: 1, 3, 5, 7, 8, 15, 17, 19, 24 
11 
4.3: The Fundamental Theorem of Calculus Exam 3 
pp. 307: 1, 5, 8, 9, 18, 22, 28, 33, 35, 37, 42, 43, 47, 55, 57, 59, 62 pp. 318: 3, 9, 11, 17, 21, 28, 35, 42, 45, 47, 49, 54, 61 
12 
pp. 327: 5, 9, 11, 15, 17, 22, 26, 34, 35, 40, 45, 47, 52, 57 pp. 335: 3, 5, 11, 13, 16, 17, 21, 22, 23, 24, 30, 31, 39, 47, 49, 53, 56, 59, 62, 64 

13 
pp. 349: 1, 3, 5, 9, 11, 12, 13, 17, 18, 19, 24, 27, 32, 35, 36, 46 pp. 361: 1, 5, 7, 9, 11, 13, 14, 15, 25, 28, 29, 36, 38, 40 

14

5.3: Volumes by Cylindrical Shells Exam 4 
pp. 366: 1, 5, 7, 9, 12, 13, 15, 17, 21, 22, 37, 38, 45, 47
pp. 371: 1, 3, 4, 7, 9, 10, 11, 13, 14, 15, 19, 22 
15

5.5: Average Value of a Function Review for final examination 
pp. 375: 1, 7, 9, 11, 12, 13, 17, 19, 24 
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