Browse Course Material
Syllabus
1. Differentiation
Part A: Definition and Basic Rules
Part B: Implicit Differentiation and Inverse Functions
Exam 1
2. Applications of Differentiation
Part A: Approximation and Curve Sketching
Part B: Optimization, Related Rates and Newton's Method
Part C: Mean Value Theorem, Antiderivatives and Differential Equa
Exam 2
3. The Definite Integral and its Applications
Part A: Definition of the Definite Integral and First Fundamental
Part B: Second Fundamental Theorem, Areas, Volumes
Part C: Average Value, Probability and Numerical Integration
Exam 3
4. Techniques of Integration
Part A: Trigonometric Powers, Trigonometric Substitution and Com
Part B: Partial Fractions, Integration by Parts, Arc Length, and
Part C: Parametric Equations and Polar Coordinates
Exam 4
5. Exploring the Infinite
Part A: L'Hospital's Rule and Improper Integrals
Part B: Taylor Series
Final Exam
Course Info
Instructor
Prof. David Jerison
Departments
Mathematics
As Taught In
Fall 2010
Level
Undergraduate
Topics
Mathematics
Calculus
Differential Equations
Learning Resource Types
grading
Exams with Solutions
notes
Lecture Notes
theaters
Lecture Videos
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Problem Sets with Solutions
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Simulations
theaters
Recitation Videos
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18.01SC | Fall 2010 | Undergraduate
Single Variable Calculus
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More Info
Syllabus
1. Differentiation
Part A: Definition and Basic Rules
Part B: Implicit Differentiation and Inverse Functions
Exam 1
2. Applications of Differentiation
Part A: Approximation and Curve Sketching
Part B: Optimization, Related Rates and Newton's Method
Part C: Mean Value Theorem, Antiderivatives and Differential Equa
Exam 2
3. The Definite Integral and its Applications
Part A: Definition of the Definite Integral and First Fundamental
Part B: Second Fundamental Theorem, Areas, Volumes
Part C: Average Value, Probability and Numerical Integration
Exam 3
4. Techniques of Integration
Part A: Trigonometric Powers, Trigonometric Substitution and Com
Part B: Partial Fractions, Integration by Parts, Arc Length, and
Part C: Parametric Equations and Polar Coordinates
Exam 4
5. Exploring the Infinite
Part A: L'Hospital's Rule and Improper Integrals
Part B: Taylor Series
Final Exam
Session 18: Derivatives of other Exponential Functions
MIT18_01SCF10_Ses18a.pdf
Description:
Tis resource contains information related to derivatives of other exponential functions.
Resource Type:
Lecture Notes
pdf
MIT18_01SCF10_Ses18a.pdf
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Course Info
Instructor
Prof. David Jerison
Departments
Mathematics
As Taught In
Fall 2010
Level
Undergraduate
Topics
Mathematics
Calculus
Differential Equations
Learning Resource Types
grading
Exams with Solutions
notes
Lecture Notes
theaters
Lecture Videos
assignment_turned_in
Problem Sets with Solutions
laptop_windows
Simulations
theaters
Recitation Videos
Download Course