Home
Teaching
Calculus Website
Precalculus Website

Multivariable Calculus

by Kiryl Tsishchanka

SYLLABUS
GRADE CALCULATOR
Formulas
QUEST


Tests
Online Tests, Midterm Exams, Quizzes

Weeks Dates Sections Handouts Homework Due Dates
1
Jan 20 Section 10.1
Curves Defined by Parametric Equations Section 10.1: # 11, 12, 14, 16, 18, 24, 28, 37
Jan 27
Jan 22 Section 10.2 Calculus with Parametric Curves

2

Jan 25
Section 10.2 Section 10.2: # 2, 4, 6, 12, 14, 16, 18, 20, 31, 32, 34, 42, 44, 62
Section 10.3: # 2, 4, 6-12, 15-23, 29, 30,  54, 56-58, 62, 64
Feb 3
Jan 27
Section 10.3 Polar Coordinates
Jan 29
Section 10.3

3

Feb 1
Section 10.4
Areas and Lengths in Polar Coordinates


Section 10.4: # 45, 46, 47


Feb 10

Feb 3
Feb 5

4

Feb 8
Section 10.5 Conic Sections

Section 10.6: # 2, 4, 6, 8, 10, 12, 14, 16


Feb 19

Feb 10
Section 10.6 Conic Sections in Polar Coordinates
Feb 12 Section 12.1 Three-Dimensional Coordinate Systems

5

Feb 15 Section 12.2 Vectors
Section 12.1: # 40
Section 12.2: # 35
Section 12.3: # 56


Feb 24

Feb 17 Sections 10.1-10.6 MIDTERM 1
Feb 19 Section 12.3 The Dot Product

6

Feb 22 Section 12.4 The Cross Product

Section 12.4: # 40, 42
Section 12.5: # 66


Mar 2

Feb 24
Feb 26 Section 12.5 Equations of Lines and Planes

7

Feb 29
Mar 2
Section 12.6 Cylinders and Quadric Surfaces
Section 12.6: # 48
Section 13.1: # 48
Mar 9
Mar 4 Section 13.1 Vector Functions and Space Curves

8

Mar 7 Section 13.2 Derivatives and Integrals of Vector Functions
Section 13.2: # 28, 34
Section 13.3: # 56

Mar 23

Mar 9 Section 13.3 Arc Length and Curvature
Mar 11
9
Mar 14-19 Spring Break



10

Mar 21 Section 13.4 Motion in Space: Velocity and Acceleration

Section 13.4: # 22, 30
Section 14.1: # 36, 50


Mar 30

Mar 23
Mar 25 Section 14.1 Functions of Several Variables

11

Mar 28 Section 14.2 Limits and Continuity+Examples

Section 14.2: # 44
Section 14.3: # 86


Apr 6

Mar 30 Sections 12.1-12.6, 13.1-13.4
MIDTERM 2
Apr 1
Section 14.3 Partial Derivatives

12

Apr 4 Section 14.4 Tangent Planes and Differentials

Section 14.4: # 39
Section 14.5: # 44
Section 14.6: # 56


Apr 13

Apr 6 Section 14.5 The Chain Rule
Apr 8 Section 14.6 Directional Derivatives and the Gradient Vector

13

Apr 11 Section 14.7 Maximum and Minimum Values
Section 14.7: # 56
Section 14.8: # 47, 48

Apr 20

Apr 13
Apr 15 Section 14.8 Lagrange Multipliers

14

Apr 18 Section 15.1 Double Integrals over Rectangles

Section 15.1: # 18
Section 15.2: # 40


Apr 27

Apr 20
Apr 22 Section 15.2 Iterated Integrals

15

Apr 25 Section 15.3 Double Integrals over General Regions

Section 15.3: # 67
Section 15.4: # 35


May 4

Apr 27 Section 15.4 Double Integrals in Polar Coordinates
Apr 29

16

May 2
Section 15.5 Applications of Double Integrals


May 4
Section 15.10 Change of Variables in Multiple Integrals


May 6


17
May 16 (Mon)
2:00-5:00pm

FINAL EXAM


Useful Links
M408M Learning Module Pages
Link
MIT Open Course
Link
WolframAlpha Link
Discussion Board Link