# Single Variable Calculus

## by MIT from World Possible

### Course Syllabus

LectureLengthVideo TitleLecture NotesAssignments
Lecture 1 51:32 Lecture 1: Rate of Change (transcript) Lecture Notes (For Units 1-7) Problem Set 1 (Finish by Lecture 5)
Lecture 2 52:46 Lecture 2: Trigonometric limits (transcript) Lecture Notes (For Units 1-7) Problem Set 1 (Finish by Lecture 5)
Lecture 3 49:54 Lecture 3: Derivatives (transcript) Lecture Notes (For Units 1-7) Problem Set 1 (Finish by Lecture 5)
Lecture 4 46:02 Lecture 4: Chain Rule (transcript) Lecture Notes (For Units 1-7) Problem Set 1 (Finish by Lecture 5)
Lecture 5 49:00 Lecture 5: Implicit Differentiation (transcript) Lecture Notes (For Units 1-7) Problem Set 1 (Finish by Lecture 5)
Lecture 6 47:56 Lecture 6: Exponential and Log (transcript) Lecture Notes (For Units 1-7) Problem Set 2A (Finish by Lecture 7)
Lecture 7 50:52 Lecture 7: Hyperbolic Functions (transcript) Lecture Notes (For Units 1-7) Problem Set 2A (Finish by Lecture 7)
There is no Lecture 8
MIDTERM EXAM 1
Review NotesPractice ProblemsPractice AnswersMidterm Exam 1Exam Answers

Lecture 9 46:47 Lecture 9:Linear and Quadratic Approximations (transcript) Lecture Notes (For Units 8-16) Problem Set 2B (Finish by Lecture 11)
Lecture 10 51:44 Lecture 10: Curve Sketching (transcript) Lecture Notes (For Units 8-16) Problem Set 2B (Finish by Lecture 11)
Lecture 11 49:42 Lecture 11: Max-Min (transcript) Lecture Notes (For Units 8-16) Problem Set 2B (Finish by Lecture 11)
Lecture 12 49:56 Lecture 12: Lecture Related Rates (transcript) Lecture Notes (For Units 8-16) Problem Set 3 (Finish by Lecture 14)
Lecture 13 53:23 Lecture 13: Newton's Method (transcript) Lecture Notes (For Units 8-16) Problem Set 3 (Finish by Lecture 14)
Lecture 14 49:42 Lecture 14: Mean Value Theorem (transcript) Lecture Notes (For Units 8-16) Problem Set 3 (Finish by Lecture 14)
Lecture 15 48:53 Lecture 15: Antiderivatives (transcript) Lecture Notes (For Units 8-16) Problem Set 4 (Finish by Lecture 19)
Lecture 16 45:24 Lecture 16: Differential Equations (transcript) Lecture Notes (For Units 8-16) Problem Set 4 (Finish by Lecture 19)
There is no Lecture 17
MIDTERM EXAM 2
Review NotesPractice ProblemsPractice AnswersMidterm Exam 2Exam Answers

Lecture 18 47:13 Lecture 18: Definite Integrals (transcript) Lecture Notes (For Units 18-25) Problem Set 4 (Finish by Lecture 19)
Lecture 19 48:15 Lecture 19: First Fundemental Theorem (transcript) Lecture Notes For Units 18-25) Problem Set 4 (Finish by Lecture 19)
Lecture 20 49:30 Lecture 20: Second Fundemental Theorem (transcript) Lecture Notes For Units 18-25) Problem Set 5 (Finish by Lecture 22)
Lecture 21 50:16 Lecture 21: Application to Logarithms (transcript) Lecture Notes For Units 18-25) Problem Set 5 (Finish by Lecture 22)
Lecture 22 49:57 Lecture 22: Volumes (transcript) Lecture Notes For Units 18-25) Problem Set 5 (Finish by Lecture 22)
Lecture 23 48:36 Lecture 23: Work, Probability (transcript) Lecture Notes (For Units 18-25) Problem Set 6 (Finish by Lecture 25)
Lecture 24 50:30 Lecture 24: Numerical Integration (transcript) Lecture Notes For Units 18-25) Problem Set 6 (Finish by Lecture 25)
Lecture 25 49:19 Lecture 25: Exam 3 Review (transcript) Lecture Notes For Units 18-25) Problem Set 6 (Finish by Lecture 25)
There is no Lecture 26
MIDTERM EXAM 3
Review NotesPractice ProblemsPractice AnswersMidterm Exam 3Exam Answers

Lecture 27 46:44 Lecture 27: Trig Integrals (transcript) Lecture Notes (For Units 26-38) Problem Set 7 (Finish by Lecture 30)
Lecture 28 48:29 Lecture 28: Inverse Substitution (transcript) Lecture Notes (For Units 26-38) Problem Set 7 (Finish by Lecture 30)
Lecture 29 48:37 Lecture 29: Partial Fractions (transcript) Lecture Notes (For Units 26-38) Problem Set 7 (Finish by Lecture 30)
Lecture 30 51:24 Lecture 30: Integration by Parts (transcript) Lecture Notes (For Units 26-38) Problem Set 7 (Finish by Lecture 30)
Lecture 31 45:24 Lecture 31: Parametric Equations (transcript) Lecture Notes (For Units 26-38) Problem Set 8A (Finish by Lecture 33)
Lecture 32 49:22 Lecture 32: Polar Coordinates (transcript) Lecture Notes (For Units 26-38) Problem Set 8A (Finish by Lecture 33)
Lecture 33 49:06 Lecture 33: Exam 4 Review (transcript) Lecture Notes (For Units 26-38) Problem Set 8A (Finish by Lecture 33)
There is no Lecture 34
MIDTERM EXAM 4
Review NotesPractice ProblemsPractice AnswersMidterm Exam 4Exam Answers

Lecture 35 48:43 Lecture 35: Indeterminate Forms (transcript) Lecture Notes (For Units 26-38) Problem Set 8B (Finish by Lecture 39)
Lecture 36 49:26 Lecture 36: Improper Integrals (transcript) Lecture Notes (For Units 26-38) Problem Set 8B (Finish by Lecture 39)
Lecture 37 50:12 Lecture 37: Infinite Series (transcript) Lecture Notes (For Units 26-38) Problem Set 8B (Finish by Lecture 39)
Lecture 38 47:31 Lecture 38: Taylor's Series (transcript) Lecture Notes (For Units 26-38) Problem Set 8B (Finish by Lecture 39)
Lecture 39 39:13 Lecture 39: Final Review (transcript) Lecture Notes (For Units 26-38) Problem Set 8B (Finish by Lecture 39)
FINAL EXAM
Review NotesPractice ProblemsPractice Answers