Calculus I Syllabus Spring 2018
MAT175 Calculus I: 4 hours, 4 credits. Differentiation of functions of one variable; applications to motion problems, maximum-minimum problems, curve sketching, and mean-value theorems, Riemann Sums and Fundamental Theorem of Calculus
Prerequisite: A grade of C (or better) in MAT 172 or placement by the department.
Corequisite: MAT 155 Calculus I Computer Laboratory
Meeting Times: 2:00-3:40 pm M/W in Gillet 333 Course Webpage: https://sites.google.com/site/professorsormani/calculusi-s17
Office: 200A Gillet Hall, Office Hours: 3:45-5:00 M/W in the classroom Email: sormanic@gmail.com
Grading Policy
Expectations: Students are expected to learn both the mathematics covered in class and the mathematics in the textbook and other assigned reading. Completing homework is part of the learning experience. Students should review topics from prior courses as needed using old notes and books.
Homework: Approximately four hours of homework will be assigned in each lesson as well as additional review assignments over weekends. The answers to all homework problems are in the back of the book. Go to the math lab for help with the homework immediately. The quizzes will test the material on the homework with no prior review.
Homework may be begun during office hourse immediately after class.
Quizzes: There are 14 quizes. For each quiz done perfectly, you will get 1 pt towards your grade. If a quiz is almost correct, you will get 1/2 a point towards your grade. Otherwise the quiz grade is a 0.
You only need to get ten quizzes done perfectly to score the full 10% and anything more is extra credit.
Exams: There will be two exams and a department final.
Students who do not pass the departmental final exam will not pass the course.
Grades: Exam 1 (30%) Exam II (30%) Quizzes (10%) Final (30%)
To pass the course you must pass the department final.
Materials, Resources and Accommodating Disabilities
Textbook: Larson, Hostetler and Edwards, Calculus (Early Transcendentals), Houghton Mifflin, You may purchase Ed 4 or Ed 5. ISBN:0538735503 or 9780538735506
Tutoring: Departmental tutoring is available in Gillet Hall 222.
Reliable Web Resources: See http://comet.lehman.cuny.edu/calculus
Reserve: Selected books have been placed on reserve in the library.
Accommodating Disabilities: Lehman College is committed to providing access to all programs and curricula to all students. Students with disabilities who may need classroom accommodations are encouraged to register with the Office of Student Disability Services. For more info, please contact the Office of Student Disability Services, Shuster Hall, Room 238, phone number, 718-960-8441.
Course Objectives
At the end of the course students should be able to:
1. Evaluate limits (as part of Departmental Objectives in Mathematics a,b and e)
2. Prove basic theorems using limits of the difference equation (as part of a,b and f)
3. Differentiate algebraic and trigonometric functions using key theorems (a,b and e)
4. Find the tangent line to a given graph at a given point (as part of a,b and e)
5. Solve maximum and minimum problems using differentiation (as part of a,b,c and e) 6. Solve related rates problems (as part of a,b and c)
7. Apply methods of calculus to curve sketching (as part of a,b)
8. Antidifferentiation, Riemann Sums and Fundamental Theorem of Calculus (a,b, and e)
These objectives will be assessed on the final exam along with other important techniques.
Course Calendar
This course and its corequisite are carefully timed to match topics, so stay on schedule. The homework listed below is different in the different editions of the textbook but cover the same types of problems. Check your answers in the back of your textbook.
Lesson 1 (1/29) Review Precalculus (Sections 1.1-1.3, 1.6 and D3)
Review the problems from among these that are more difficult for you and check answers in the back of the book.
1.1/ 1-14, 19, 21, 53, 55, 63; 1.2/ 19, 23-32, 35, 43, 49-55 odd, 77.
1.3/ 5-9 odd, 13, 17-21 odd, 57-63 odd; 1.6/ 7-15 odd, 19, 25, 27, 49, 59, 91, 93 Trigonometry Appendix Edition 5: C3/11, 13, 15, 19, 31, 37, 51 Edition 4 has an online trigonometry appendix D3 at:
http://college.cengage.com/mathematics/larson/calculus_early/4e/assets/app/appendixd3.pdf
Please seek help in MAT 155 and in the Math Lab for this precalculus homework. And my office hours after class
Lesson 2 (1/31) Limits (2.2 and the beginning of 2.3)
2.2/ 1, 3, 5, 11, 13, 15, 17, 19, 21, 23
Review 1.5/ 1, 5, 53, 57, (ed 4: 89, 91, 93) (ed 5: 95, 97, 99)
(math majors should also read Appendix A Thm 2.2-2.5 and do 2.1/31,
Lesson 3 (2/5): [Precalc Quiz] Evaluating Limits and the Squeeze Theorem (2.3) including Three Special Limits
2.3/ 9-21 odd, 37, 43, 45, 53, 57, 69, 79, (math majors should also read Appendix A Thm 2.8 and do 2.2/ 39, 2.3/ 118, 125
Lesson 4 (2/7): Trigonometric Limits
Do homework from lesson 1 on trigonometry and then do limits problems with trig in them from below 2.3
Students who failed the precalc quiz should either drop the course and immediately add precalc instead, or should complete all the precalc homework from lesson 1 related to the problems they got wrong and bring it to class on 2/14. Remember that before you do homework problems you should read the section of the book explaining how to do them. Students who failed the precalculus quiz badly getting almost everything wrong should drop calc and take precalc instead.
No Lehman classes on 2/12 Precalc Review in 333 2-3:40 and 7-8:40 on 2/12
Lesson 5 (2/14) [Limits Quiz] Continuity (2.4)
2.4/ 1, 3, 5, 11, 31, 37, 39, 41, 43, 47
Lehman closed 2/19
Lesson 6 (Tuesday 2/20) Infinite Limits and Asymptotes (2.5)
2.4/ 49, 51, 55, 57, 59; 2.5/ 1, 3, 7, 9-15 odd, 31, 33, 39, 45, 47,
Lesson 7 (2/21) [Continuity Quiz] Tangent Lines and Derivatives (3.1)
3.1/ 1, 5, 7, 11, 13, 21, 37, 39, 41, 61
Review 1.3/ Example 4, 59, 61, 63
Lesson 8 (2/26): [Quiz on Tangent Lines] Velocity and Laws of Differentiation(3.2)
3.2/3-23 odd, 43-61 odd; (Ed 5 3.2/101, 103) or (Ed 4. 3.2/93, 95)
Review 1.5/ 1, 5, 7, 9, 11, 13
Lesson 9 (2/28) Product and Quotient Rules (3.3)
3.3/ 1-7 odd, 17, 19, 25, 31, 41, 43, 45, 69; (Ed 5 3.2/ 105, 107, 111) or (Ed. 4 3.2/ 93, 99, 103)
Lesson 10 (3/5) [Quiz on Differentiation 3.2-3.3] Chain Rule (3.4)
3.4/ 9-15 odd, 23, 25, 29, 49, 51, 55, 59, 63, 67, 79-83 odd, 115, 117 (math majors read Appendix A Thm 3.11)
Lesson 11 (3/7) Review for Exam I
Review all examples in 1.1-3.4, and all prior homework problems and practice doing them quickly. There will be problems like each quiz and also a problem using the chain rule. There is no sample exam. The quizzes may be used for practice.
If you missed class today: email me for the notes and a photo of your differentiation quiz.
Lesson 12 (3/12) Exam I on 1.1 -3.4 No calculators or phones allowed on this exam or any other exam.
Students who do poorly on this exam should consider dropping this course and attending a class on precalculus before taking calculus next semester. Please consult with your professor or math adviser for more personalized advice. Bring your exam and homework with you when seeking advice.
Lesson 13 (3/14) Review of Exam I and Chain Rule
Go over the exam carefully and do it again correctly as homework. See a tutor to practice problems from precalculus. Practice Chain Rule homework assigned in Lesson 10. Students who scored below a 75% on Exam I may retake Exam I on 3/26 if they submit a copy of this exam redone on 3/19). The score on the retaken exam will be multiplied by .8 with a max score of 80%. Other students will take the scheduled quiz on 3/26.
Lesson 14 (3/19) : [Chain Rule Quiz] Implicit Differentiation (3.5-3.6)
3.5/ 1, 7, 29, 33, 35, 47; 3.6/ 7, 15, 25, 45
Lesson 15 (3/21) Related Rates (3.7) SNOW DAY (we will schedule a related rates lesson later)
3.7/ 1, 5, 13, 15, 27, 39, 41, (3.8 on Newton's Method will be done in MAT155)
Lesson 16 (3/26): [Retake Exam I with new problems and format] and [Quiz on Implicit Diff]
Lessons 17 (3/28): Extrema: Finding Max and Min using critical points and end points (4.1-4.3)
4.1/ 1, 7, 11-15 odd, 21-35 odd;
Review Old Homework on Limits (2.5).
Spring Recess
Lesson 18 (4/9): [Extrema Quiz] Mean Value Theorem, Increasing/Decreasing (4.2-4.3)
4.3/ 3, 5, 9-13 odd, 17, 29-35 odd, 43
Make up lesson 15 on Related Rates on 4/11 (Lehman has Friday classes on 4/11)
3.7/ 1, 5, 13, 15, 27, 39, 41, (3.8 on Newton's Method will be done in MAT155)
Lesson 19 (4/16) [Inc/Dec Quiz] Concavity (4.4)
4.4/ 1, 3, 5, 7, 11, 13, 15, 19, 21, 23, 27, 29, 39, 43, 47
Lesson 20 (4/18) Limits at infinity (4.5) and Graphing (4.6)
4.5/ 1, 3, 5, 17-25 odd, 35 Go over 4.6 Examples 1-6.
Curve sketching (4.6) will also be covered in MAT155
Lesson 21 (4/23) [Advanced Limits and Concavity Quiz] Review for Exam II on Chapters 3-4 and Continuity 2.4
finish the review assignment given out in class (email me if you missed class)
Lesson 22 (4/25) Optimization 4.7
4.7/3-9 odd, 17, 25, 27, 29, 33;
Review sample Exam II problems and quizes and Optimization.
Review all examples in 2.4, 3.1-3.7, 4.1, 4.3-4.6 and all prior homework problems. Practice doing them quickly.
There will be problems like each quiz including using the product rule, the quotient rule and the chain rule.
There will be problems involving concavity, 2nd deriv test and limits at infinity as well.
Lesson 23 (4/30) Exam II on Chapters 3-4
Lesson 24 (5/2) Antiderivatives, Position, Velocity, Acceleration,
HW 5.1/ 1,3,17,19,21,25,27,35,81,87,89,91,
Lesson 25 (5/7): [Quiz on Antiderivatives] Area, Riemann sums, definite integrals
HW 5.2/ 7, (ed4 23,25,27,29,35) or (ed5 33,35,41,43,45)
HW 5.3/ 1,3,5,7,11,15, 17, 19, 25,27,35,41,
Lesson 26 (5/9) [Quiz on Riemann Sums] Fundamental Theorem of Calculus
HW 5.4/ 27,31,39, 45,47,51,59,61,81,83,87,89,91,95,97,101, (ed 4 109) or (ed 5 113)
Lesson 27 (5/14) [Quiz on Fundamental Theorem of Calculus] u substitution
HW 5.5/1,3,5, 11-29 odd, 49-65 odd, (ed4 87, 117, 119, 147, 149) or (ed5 91, 121, 123, 151, 153)
Lesson 28 (5/16) [Quiz on Integration and u substitution] Review for the Departmental Final
Retake Exam II: Monday May 21: 2-3:30 pm Gillet 333
The department will also schedule reviews for the final.
Final Exam during Finals Week (Departmental Final you must pass to pass the course) :
Wed May 23 1:30-3:30 pm Gillet 333