Official Syllabus for Calculus I, MAT 175

Calculus Webpage: http://comet.lehman.cuny.edu/calculus has syllabi and projects and other information for calculus and precalculus courses.

Prerequisite: MAT 172 (C+ and up strongly recommended), All students are encouraged to attend an Intensive Precalculus Review Session offered by the department in the second week of class. See the calculus webpage for more information.
Corequisite:  MAT 155 to learn Maple Classic
Text: Larson, Hostetler and Edwards, Calculus (Early Transcendentals) Edition 4, Houghton Mifflin,
Do not buy the single variable version.
(topics may not correspond to section numbers if you have the wrong edition)
The textbook has a webpage at college.hmco.com
Many of the proofs are in Appendix A.
Supplies: A spiral notebook of graph paper for notes. A cheap scientific calculator with buttons for sin, cos, tan, Ln, and Log. A more expensive calculator which can differentiate will not be permitted. Go to the calculus webpage for online materials
Homework: Approximately 2 hours of homework will be assigned each meeting and additional review assignments will be given on weekends. We've included odd problems here but your professor may assign different problems. The odd ones have answers in the back of the text.
Timing: This syllabus corresponds directly to the MAT 155 syllabus and should not fall more than one lesson behind schedule. Students who need extra help on any topic should go to the department's tutoring center.
Grading: Two exams have been scheduled in this syllabus. Faculty may also grade biweekly or surprise quizzes or homework. A cumulative final exam will given during finals week to all students. Students who plan to take Calculus II should aim for A's.

Syllabus:

Lesson 1: Review Graphs and Trigonometry (Sections 1.1, 1.2 and D3)
1.1/ 1, 3, 19, 21, 39-47 odd, 51-55 odd, 63-67 odd;
1.2/27-31 odd, 35, 43, 49-55 odd, 77. (go to the Math Lab for help)
(Review online trigonometry appendix D3 at:
http://www.college.hmco.com/mathematics/larson/calculus_early/4e/resources/appendices/appendixd3.pdf
Lesson 2: Review Elementary Functions (Sections 1.3, 1.6)
1.3/5-9 odd, 13, 17-21 odd, 57-63 odd, 95(a).
1.6/ 7-15 odd, 19, 25, 27, 49, 59-63 odd, 77-81 odd, 85, 91, 93.
Lessons 3-4: Limits (2.1-2.2)
2.2/ 11-15 odd, 19-23 odd, (math majors should also do: 31, 33, 39), Everyone review inverses: 1.5/ 1,3,5,9-12,29
Lessons 5-6: Evaluating Limits and the Squeeze Theorem (2.3)
including Three Special Limits
2.3/ 9-21 odd, 43, 45,
2.3/ 37, 53, 57, 69, 79, (118, 125).
1.4/19,21,25,27
Lesson 7: Continuity (2.4)
2.4/ 1-5 odd, 11, 37-49 odd, 55, 63.
Lesson 8: Infinite Limits and Asymptotes (2.5)
2.5/ 1, 3, 9-15 odd, 31, 33, 39, 45, 47.
Lessons 9-10: Chap 2 Review/15-19 odd, 29, 31, 37-41 odd, 47, 55, 57, 61, 69, 73, 77; and Exam I on all the above material
Students who do poorly on this exam should consider dropping this course and attending a class on precalculus before taking calculus. Please consult with your professor or Mr. Rothchild in Gillet 104 for more personalized advice. Bring your exam and homework with you when seeking advice.
Lessons 11-12: Tangent Lines and Derivatives (3.1)
3.1/ 1-7 odd, 11, 21
3.1/ 37-41, 47, (71, 75)
Review Composition of Functions in 1.3/example 4, 59, 61, 63
Lesson 13-14: Laws of Differentiation including the product rule (3.2-3)
(Review Inverse Functions in 1.5/ 1, 5, 7, 9-12, 13)
3.2/ 3-23 odd, 43-51 odd, 53(a), 55(a), 57-61 odd.
3.3/ 1-7 odd, 17, 19, 25, 31, 35, 37, 41-45 odd, 57, 69(a), 71(a).
Lesson 15: Chain Rule (3.4)
3.4/ 9-15 odd, 23, 25, 29, 49, 51, 55, 59, 63, 67, 79-83 odd, 115(a), 117(a).
Lesson 16: Implicit Differentiation (3.5-3.6)
3.5/ 1, 7, 29, 33, 35; 3.6/ 7, 15, 25, 45.
Lessons 17 and 18: Related Rates (3.7)
3.7/ 1, 5, 13, 15, 27, 39; Chap 3 Review/ 3, 7, 11(a), 17-31 odd, 43, 51, 57, 59, 67, 73, 87, 105, 121, 143.
3.8 on Newton's Method will be done in MAT155
Lessons 19 and 20: Review and Exam II on Chapter 3
Lessons 21-22: Extrema, Mean Value Theorem, Increasing/Decreasing (4.1-4.3)
4.1/ 1, 7, 11-15 odd, 21-35 odd.
4.3/ 3, 5, 9-13 odd, 17, 29-35 odd, 43.
Review Old Homework on Limits (2.5).
Lesson 23: Concavity (4.4)
4.4/ 1, 3, 5, 7, 11-15 odd, 19, 21, 23, 27, 29, 39
Lesson 24: Limits at infinity (4.5) and, if time allows, L'hopital's Rule (8.7)
4.5/ 1-7 odd, 17-25 odd; 8.7/ 11-35 odd.
Curve sketching (4.6) will be covered in MAT155
Lessons 25: Optimization (4.7)
4.7/ 3-9 odd, 17, 27, 33;
Lesson 26: Business Applications (Appendix C)
Appendix C: 3,5, 7,9,18,20,21
Lesson 27: Antidifferentiation (5.1) if time allows
5.1/ 5, 7, 21, 31, 43, 53-57 odd.
Lesson 28: Review for the final

Final Exam: The Final Exam will be given during Finals Week covering the entire course especially topics needed in future courses.
This syllabus and others are available at: http://comet.lehman.cuny.edu/calculus/.