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Instructor
Prof. David Jerison
Departments
Mathematics
As Taught In
Fall 2006
Level
Undergraduate
Topics
Mathematics
Calculus
Differential Equations
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18.01 | Fall 2006 | Undergraduate
Single Variable Calculus
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Lecture Videos
Lecture 1: Rate of Change
Lecture 10: Curve Sketching
Lecture 11: Max-min
Lecture 12: Related Rates
Lecture 13: Newton's Method
Lecture 14: Mean Value Theorem
Lecture 15: Antiderivatives
Lecture 16: Differential Equations
Lecture 18: Definite Integrals
Lecture 19: First Fundamental Theorem
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Assignments
Problem Set 1
Problem Set 2A
Problem Set 2B
Problem Set 3
Problem Set 4
Problem Set 5
Problem Set 6
Problem Set 7
Problem Set 8A
Problem Set 8B
Exams
Course Outline
End of Term
Exam 1
Exam 1 Review
Exam 1 Solutions
Exam 2
Exam 2 Solutions
Exam 3
Exam 3 Review
Exam 3 Solutions
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Lecture Notes
Exam 4 Review
Lecture 1: Derivatives, Slope, Velocity, and Rate of Change
Lecture 10: Curve Sketching
Lecture 11: Max/Min Problems
Lecture 12: Related Rates
Lecture 13: Newton’s Method and Other Applications
Lecture 14: Mean Value Theorem and Inequalities
Lecture 15: Differentials and Antiderivatives
Lecture 16: Differential Equations and Separation of Variables
Lecture 18: Definite Integrals
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Readings
Approximation
Average Value
Continuity and Discontinuity
Exercises Sections 1-7
Exponentials and Logarithms
Graphing Functions
Heaviside's Cover-up Method
Improper Integrals
Mean-value Theorem
Properties of Definite Integrals
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Course Info
Instructor
Prof. David Jerison
Departments
Mathematics
As Taught In
Fall 2006
Level
Undergraduate
Topics
Mathematics
Calculus
Differential Equations
Learning Resource Types
assignment
Problem Sets
grading
Exams with Solutions
notes
Lecture Notes
theaters
Lecture Videos
Download Course