Calculus Webpage: http://comet.lehman.cuny.edu/calculus has syllabi and projects and other information for calculus and precalculus courses.
Prerequisite: MAT 172 and 175 (C+ and up strongly recommended),
All students are encouraged to attend Intensive Precalculus and Calculus
Review Sessions offered by the department in the second week of class.
Corequisite: MAT 156 to learn Maple Classic,
Text: Larson, Hostetler and Edwards, Calculus
(Early Transcendentals) Edition 4
Houghton Mifflin, Do not buy the single variable version.
The textbook has a webpage at college.hmco.com
Homework: Approximately 2 hours of homework will be assigned
each meeting and additional review assignments will be given on weekends.
Suggested homework assignments are below. Notice some assignments
recommend reviewing material from Calculus I and should be completed
before the next meeting. Faculty may assign different
problems.
Timing:
This syllabus corresponds directly to the MAT 156 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 quizes, and homework.
A final exam will be given during finals week to all students.
Students who are not prepared for Intermediate Calculus I will
not pass this course. Students planning to take Intermediate Calculus I
should aim for an A in this course.
Syllabus:
Lesson 1:
5.1: Antiderivatives, Distance, Displacement, Average Velocity
HW 5.1/ 1,3,17,19,21,25,27,35,87,89,91,101,103
Lesson 2:
5.2: Area
HW 5.2/ 7,25,27,35,47,57,81
Lesson 3:
5.3: Riemann sums, definite integrals
HW 5.3/ 1,3,5,7,11,25,27,35,41,65,67,69,71,77,79
Review the Definition of Derivative (3.1) before Lesson 4.
Lesson 4:
5.4: Fundamental Theorem of Calculus
HW 5.4/ 45,47,51,57,67,69,81,83,87,89,91,95,101,111
Review the Chain Rule (3.4) before Lesson 5.
Lesson 5:
5.5: Substitution (5.6 will be taught in MAT156)
HW 5.5/1,2,6,8,11,13,17,19,20,22,25,27,47,50,54,57,61,66,68,74,77,84,91,149,150
Lesson 6:
5.7-8: Logs and Inverse Trig functions (especially arctan),
HW 5.7/ 1,2,4,6,7,11,13,17,19,25,32; 5.8/ 1,3,4,7,10,11,13,17,20,24,27
Lesson 7:
7.1: Area,
7.2: Volumes: disk method
HW 7.1/ 43,44,45,48,85,86,90,91,92,93,94;
7.2/1,2,3,4,6,7,8,11,13,17,20,22,32,47,48,49,50,55,59,68,69,74
Lesson 8:
7.3: Shell method, 7.4: Arc-length, surfaces of revolution (if time allows)
HW 7.3/1,2,4,6,7,8,13,20,22,25,27,41,42,46,50; 7.4/1,3,5,11
Lessons 9-10:
Review and Exam I on lessons 1-8.
Extra credit assignment related to 7.6 on Moments could be assigned.
Lesson 11:
8.1: Basic integration rules
HW: 8.1/6,7,8,11,13,17,25,27,41,42,46,50
Review the Product Rule (3.3) before Lesson 12.
Lesson 12:
8.2: Integration by parts (simple examples)
HW: 8.2/ 11,13,17,20,27,30,35,48,50,55,83,84
Lesson 13:
8.3: Trigonometric integrals (simple)
HW: 8.3/6,8,11,19,20,22,25,27,54,65,69
Lesson 14:
8.4: Trigonometric substitution
HW: 8.4/6,7,8,10,13,17,22,25,27,32,35,26,50,65,66
Lesson 15:
8.5: Partial fractions (especially distinct linear factors)
HW: 8.5/7,8,11,20,25,27,28,57,58
Review 2.2-2.3 on Limits before Lesson 16.
Lesson 16:
8.7, 9.1: L'Hopital's rule and Sequences
HW: 8.7/11,13,20,77,78,84,87,88,91,92,93,106,108
HW: 9.1/ 1,2,6,11,13,37,47,50,54,57,65
Lesson 17:
8.8, 9.2: Improper Integrals and Series (emphasizing geometric vs harmonic)
HW: 8.8/ 1,2,4,6,7,8,,17,19,20,22,25,27,32,35
HW: 9.2/ 1,6,24,25,27,35,36,41,47,50,57,61,65,84,85
Lesson 18:
9.3-4: Integral test and Comparison of series,
HW: 9.3/ 3,4,10,11,17,20,22,25,27,51,54
HW: 9.4/3,6,8,11,17,20,22,25,27,51,54
Lesson 19:
9.5: Alternating series (AC vs. CC)
HW: 9.5/11,13,15,16,17,19,20,25,27,47,50,54,61,71,74,84,85
Lesson 20:
9.6: Ratio test (omit root test)
HW: 9.6/13,15,16,20,22,25,27,32,34,35
Lesson 21-2: Review and Exam II: (on Lessons 9-18 or 1-18)
Lesson 23:
9.7-9.8: Taylor Approximations and Power series
HW: 9.7/1,2,6,14,19,37,47,57,65
HW: 9.8/4,6,8,11,13,20,25,26,27,32
Lesson 24:
9.9: Taylor series (especially near x = 0)
HW 9.9/ 1,6,24,25,26,35,36,41,47,57,62
Lesson 25:
9.10: Taylor series continued
HW: 9.10/ 1,2,3,7,8,17,20,22,29,32,35,36,47,54,68,70
Lesson 26:
6.2-3: ODE: growth and decay,
HW 6.2/1,3,5,7,9,11,17,19,49,53
Lesson 27:
6.3: Separation of Variables
HW 6.3/1,5,7,13,15,35 and applications relevant to your major
Lesson 28: Review for the final
Final during Finals Week
The syllabus and links to other Calculus Syllabi can be found at http://comet.lehman.cuny.edu/calculus