Calculus I

MTH 231, Spring 2019, Section 17737

Mon-Wed 12:20 - 2:15, 1S-218


Information Webwork Topics & Resources Announcements Useful Links Department of Mathematics

Instructor: Abhijit Champanerkar
Office: 1S-230
Phone: 718-982-3613
Email :
Office Hours: Mondays & Wednesdays 11 - 12 pm, Wednesdays 3:30 - 4:30 pm
Class Homepage: http://www.math.csi.cuny.edu/abhijit/231/
Academic Calendar

Information

Goals The goal of this course is to understand the basic ideas and to develop proficiency in problem solving and applications of limits, derivatives and integration of single variable real-valued functions including combinations of algebraic and transcendental functions.

Course description This is the first of a three-semester sequence in calculus. Topics include limits, derivatives, rules of differentiation, trigonometric functions and their derivatives, differentials, graph sketching, maximum and minimum problems, related rates, antiderivatives, areas, integration, exponential and logarithmic functions.

Prerequisite MTH 123 with a grade of A or MTH 130 or an appropriate score on the CUNY proficiency/placement exam or permission of the Department of Mathematics.

Corequisite MTH 229

Text Book
Text Book Calculus: Early Transcendentals , by Rogawski and Adams, 3rd Edition, W. H. Freeman & Co. (2008) ISBN-13: # 978-1-4641-1488-5

Syllabus & Homework We will cover topics from Chapters 1, 2, 3, 4 & 5. The course schedule and homework problems assigned from the book are listed on the course outline.

WeBWork Homework problems must be submitted online via WeBWork, which is a computer graded homework system. Webwork homework will count towards 20% of the grade.

Exams There will be 3 exams during the semester and a Final exam at the end of the semester. Here are the tentative dates:

Grading: The course grade will be determined as follows: 20% WeBWork + 40 % Exams + 40% Final Exam. Without exception you must pass the exams to pass this course. Missing the Final exam will result in an F grade. You must take the final exams at the time scheduled by the university. Any changes to the grading policy will be announced in the class.

Method of Study: Attend class. Read the textbook. Do the homework and Webwork problems. Discuss and talk to other students. Use my office hours or email me to ask questions.

Help: Email is the best way to contact me. Use the office hours posted above. Free math tutoring is also available.

Attendance is mandatory. Cell phone usage of any kind during class is not allowed. Academic dishonesty and cheating will not be tolerated. Please see CUNY's Academic Integrity Policy .


Topics, Classworks & Other Resources

Here is a list topics by date, related classworks and other resources such as sample exams, solutions etc we will use during the course. Course outline.

Class Day Date Topic Classwork WeBWork Due Date
1 Mon Jan 28 Review of functions Feb 7
2 Wed Jan 30 2.1, 2.2 Limits, rates of changes Feb 7
3 Mon Feb 4 2.3, 2.4 Limit Laws, Continuity cw1 Feb 15
4 Wed Feb 6 2.5, 2.6 Algebraic & trigonometric limits Feb 15
5 Mon Feb 11 2.7, 2.8 Limits at Infinity, IVT cw2 Feb 21
6 Wed Feb 13 3.1 Derivatives Feb 28
Mon Feb 18 No class
7 Wed Feb 20 3.2 Derivative as a function Feb 28
8 Mon Feb 25 Review Sample Problems  
9 Wed Feb 27 Exam 1
10 Mon Mar 4 3.3 Product and Quotient Rules Mar 15
11 Wed Mar 6 3.5-3.6 Higher derivatives, Derivatives of trigonometric functions Mar 15
12 Mon Mar 11 3.7 Chain Rule Practice Problems Mar 21
13 Wed Mar 13 3.8 - 3.9 Implicit Differentiation, Log functions Mar 21
14 Mon Mar 18 3.10 Related rates, 3.4 ROCs Mar 28
15 Wed Mar 20 4.1, 4.2 Linear Approximations, Extreme Values April 5
16 Mon Mar 25 4.3 First Derivative Test April 5
17 Wed Mar 27 4.4 Concavity April 16
18 Mon Apr 1 Review Sample Problems  
19 Wed Apr 3 Exam 2
20 Mon Apr 8 4.5, 4.6 , L'Hopital's Rule, Curve Sketching April 16
21 Wed Apr 10 4.6 Curve Sketching Handout April 30
22 Mon Apr 15 4.7 Optimization April 30
23 Wed Apr 17 5.3 Indefinite Integrals May 7
Apr 19-28 Spring Break
24 Mon Apr 29 5.1, 5.2 Area Approximation, Definite Integral May 7
25 Wed May 1 5.4, 5.5 Fundamental Theorems of Calculus
26 Mon May 6 5.7 Substitution Rule
27 Wed May 8 Review Sample Problems  
28 Mon May 13 Exam 3
Final Exam Thursday May 16, 2:30 - 4:30, 1S-102 Review


Useful links
  1. Algebra Worksheets
  2. Solving Equations
  3. Online graphing tool
  4. Animation for Riemann sums
  5. Visual for Calculus
  6. Animation for Limits   Instructions
  7. More Animations  
  8. How to enter answers in Webworks
  9. Calculus.org  Explore this terrific website!
  10. Calculus online tutorial
  11. Free Math Tutoring Lab
  12. Videos: Patrick JMT
  13. Videos: Khan Academy


Announcements

Welcome to Calculus 1 !