Textbook
Required: Calculus Volume 1, by Gilbert Strang, Massachusetts Institute of Technology
The textbook is available online, and you may use it online or download it as a PDF
Catalog Description
An introduction to the calculus of functions of one variable, including a study of limits, derivatives, extrema, integrals, and the fundamental theorem. Sections meet 3 days a week.
No prerequisites for this course.
- Course Objectives
- Students will develop an understanding of the principal tools of Calculus and how they are used.
- Students will acquire problem-solving skills and strategies, such as breaking complex problems into simpler sub-problems. They will also come to understand how theoretical results and concepts can be developed and then used for problem-solving as well as further investigation.
- Students will gain an appreciation for the mathematical process, which consists of pattern recognition, pattern description, and pattern explanation (proof).
- Students will develop a sense of the importance of criteria, such as clarity, efficiency, and elegance, by which competing solutions to problems might be judged.
Schedule and Weekly Learning Goals
The learning goals below should be viewed as the key concepts you should grasp after each
week. The covering of sections probably changes during the semester, but homework, quizzes,
and exam times won’t change.
Week 01, 01/06 – 01/10: Class start day is Friday, January 10
Homework (1) out
• Friday
Going over the syllabus
1.1/1.2 Review of Functions
Week 02, 01/13 – 01/17:
• Monday
Section 1.4 Inverse functions
• Wednesday
Section 1.3 Trig Functions
• Friday
Section 1.5 Exponential and Logarithmic Functions
Week 03, 01/20 – 01/24:
Homework (1) Due on Monday at 11:59 pm
Homework (2) Out
• Monday
Section 2.1 Preview of Calculus
• Wednesday
Section 2.2 Limit of a function
• Friday
Infinite Limits and Section 2.3 Limit Laws
Quiz(1)
5/9
MATH 101, Sections 1 – Calculus I
Week 04, 01/27 – 01/31:
Homework (2) Due on Monday at 11:59 pm
Homework (3) Out
• Monday
Section 2.3 Limit Laws
• Wednesday
Section 2.4 Continuity
Section 2.4 Continuity/Intermediate Value Theorem and its Application
• Friday Start of Chapter 3, Derivatives
Section 3.1 Defining the derivative
Quiz(2)
Week 05, 02/03 – 02/07:
Homework (3) Due on Monday at 11:59 pm
Homework (4) Out
• Monday
Section 3.2 Derivative as a function
• Wednesday
Class Exam 1
• Friday
Section 3.3 Differentiation Rules
Week 06, 02/10 – 02/14:
Homework(4) Due on Monday at 11:59 pm
• Monday
Section 3.5 Derivatives of Trig functions
• Wednesday
Section 3.5 Derivatives of Trig functions
• Friday
Quiz(3)
Section 3.6 Chain Rule
6/9
MATH 101, Sections 1 – Calculus I
Week 07, 02/17 – 02/21:
Homework (5) Out
• Monday
Section 3.6 Chain Rule
• Wednesday
Section 3.6 Chain Rule
Section 3.7 Derivatives of Inverse Functions
• Friday
Section 3.8 Implicit Differentiation
Quiz(4)
Week 08, 02/24 – 02/28: Washington Break: No classes
Week 09, 03/03 – 03/07: Mon., Oct. 23 Midterm grades due at 12:00 noon
Homework (5) Due on Monday at 11:59 pm
Homework (6) Out
• Monday
Section 3.9 Derivatives of Exponential and Logarithm functions
• Wednesday
Class Exam 2
• Friday
Section 4.2 Linear approximation and differentials.
Week 10, 03/10 – 03/14:
Homework(6) Due on Monday at 11:59 pm
Homework (7) Out
• Monday
Section 4.3 Maxima and Minima
7/9
MATH 101, Sections 1 – Calculus I
• Wednesday
Section 4.3 Maxima and Minima Section 4.4 Mean V. Theorem
• Friday
Section 4.5 Derivatives and Shape of a Graph
Quiz (5)
Week 11, 03/17 – 03/21:
Homework (7) Due on Monday at 11:59 pm
• Monday
4.6 Limits at infinity and asymptotes
• Wednesday
Midterm 2
• Friday
4.7 Applied Optimization Problems
Quiz(6)
Week 12, 03/24 – 03/28:
Homework (8) Out
• Monday
5.1 Approximating Areas
• Wednesday
5.2 The definite integral 5.3 Fundamental Theorem of Calculus
- Friday
5.3 Fundamental Theorem of Calc
8/9
MATH 101, Sections 1 – Calculus I
Week 13, 03/31 – 04/04:
Homework (8) Due on Monday at 11:59 pm
Homework (9) Out
• Monday
Class Exam 3
• Wednesday 5.4 Integration and Net Change Theorem
• Friday
5.5 Substitution
Week 14, 04/07 – 04/11:
Homework (9) Due on Monday at 11:59 pm
• Monday
5.6 Integrals involving Exp and Log functions
• Wednesday
5.6 Integrals involving Exp and Log functions
• Friday Final Project Due This Week
Last day of Fall term classes
Week 15, 04/14 – 04/18:
April 12, Final Examinations begin: 2:00 pm
April 18, Final Examinations end: at 12:00 noon