Calendar

Below is the tentative schedule for the course. This calendar is subject to revision during the term. The section references only serve as a guide; your instructor may vary from it. Please make sure to check this page regularly for the most updated version.

Link to podcast: https://podcast.ucsd.edu/watch/wi20/math20c_c00

Week 1

Reading topics:

Read & understand the policies from the syllabus - Summary
Section 1.1: Vectors in 2- and 3-Dimensional Spaces (skip the section on equations of lines)
Section 1.2: Length, Distance, Inner Product and Applications
Section 1.3: Cross Product and Applications

(focus on the definition and properties of dot/cross product - skip the section on equations of planes in 1.3)

Lecture notes:

Day 01 - Monday 01/06 - Notes - Annotated notes
Day 02 - Wednesday 01/08 - Notes - Annotated notes
Day 03 - Friday 01/10 - Notes - Annotated notes

Optional practice exercises from textbook:

Section 1.1: 1, 5, 7, 9, 11
Section 1.2: 1, 3, 7, 9, 13, 15, 19, 23, 29, 31, 37
Section 1.3: 3, 5, 11, 13, 15, 27, 37

No assignment due this week

Week 2

Reading topics:

Section 1.1: Equations of Lines
Section 1.3: Equations of Planes

Lecture notes:

Day 04 - Monday 01/13 - Notes - Annotated notes
Day 05 - Wednesday 01/15 - Notes - Annotated notes
Day 06 - Friday 01/17 - Notes - Annotated notes

Optional practice exercises from textbook:

Section 1.1: 13, 17, 21, 25, 27
Section 1.3: 21*, 29, 31, 32, 33, 34, 35

(Exercise marked with an asterisk^* is known to have incorrect answers in the back of the book. )

HW 1 due Thursday 01/16 at 11:59pm

Week 3

Reading topics:

Section 2.1: Intro to Multi-variate Functions
Section 2.1 and 2.2: Limit and Continuity for Multivariable Functions

Lecture notes:

Monday 01/20 - Martin Luther King Jr.'s Day - no class
Day 07 - Wednesday 01/22 - Notes - Annotated notes
Day 08 - Friday 04/24 - Notes - Annotated notes

Optional practice exercises from textbook:

Section 2.1: 3, 5, 7, 13, 25, 27, 31, 33
Section 2.2: 1, 3, 9, 15, 25

HW 2 due Thursday 01/23 at 11:59pm

Week 4

Reading topics:

Section 2.2: Limit and Continuity for Multivariable Functions (cont.)
Section 2.3: Differentiation - Partial Derivatives

Lecture notes:

Day 09 - Monday 01/27 - Notes - Annotated notes
Day 10 - Wednesday 01/29 - Notes - Annotated notes
Midterm 1 - Friday 01/31, 2:00 - 2:50pm in class

Optional practice exercises from textbook:

Section 2.2: 1, 3, 9, 15, 25
Section 2.3: 1, 3, 5, 7, 11, 13, 19, 21, 28

HW 3 due Thursday 01/30 at 11:59pm

Week 5

Reading topics:

Section 2.3: Differentiation - Linear Approximation using Tangent Planes
Section 2.4: Intro to Paths & Curves
Section 2.5: Properties of Derivative - Chain Rule

Lecture notes:

Day 11 - Monday 02/03 - Notes - Annotated notes
Day 12 - Wednesday 02/05 - Notes - Annotated notes
Day 13 - Friday 02/07 - Notes - Annotated notes

Optional practice exercises from textbook:

Section 2.3: 1, 3, 5, 7, 11, 13, 19, 21, 28
Section 2.4: 1, 5, 7, 9, 11, 13, 19, 23
Section 2.5: 3, 7, 8, 9, 13, 14, 32, 33, 35

No assignment due this week

Week 6

Reading topics:

Section 2.6: Gradients and Directional Derivatives
Section 3.1: Iterated Partial Derivatives

Lecture notes:

Day 14 - Monday 02/10 - Notes - Annotated notes
Day 15 - Wednesday 02/12 - Notes - Annotated notes
Day 16 - Friday 02/14 - Notes - Annotated notes

Optional practice exercises from textbook:

Section 2.6: 1^*, 3, 5, 7, 9, 11^*, 13, 17
Section 3.1: 1, 3, 7^*, 9, 11, 19, 21, 25 (exercises with * have typo in their answer in the back of the book)

HW 4 due Thursday 02/13 at 11:59pm

Week 7

Reading topics:

Section 3.3: Extrema of Real-Valued Functions

Lecture notes:

Monday 02/17 - President Day - no class
Day 17 - Wednesday 02/19 - Notes - Annotated notes
Day 18 - Friday 02/21 - Notes - Annotated notes

Optional practice exercises from textbook:

Section 3.3: 1, 3, 7, 9, 17, 19^*, 39, 43 (exercises with * have typo in their answer in the back of the book)

HW 5 due Thursday 02/20 at 11:59pm

Week 8

Reading topics:

Section 3.4: Constrained Extrema and Lagrange Multipliers
Note: Skip "A Second Derivative Test for Constrained Extrema" (pg 197 - 201)

Lecture notes:

Day 19 - Monday 02/24 - Notes - Annotated notes
Day 20 - Wednesday 02/26 - Notes - Annotated notes
Midterm 2 - Friday 02/28, 2:00 - 2:50pm in class

Optional practice exercises from textbook:

Section 3.4: 1, 3, 5, 7, 13, 15^*, 19, 21

HW 6 due Thursday 02/27 at 11:59pm

Week 9

Reading topics:

Section 4.1 and 4.2: Acceleration and Arc Lengths
Section 5.1: Intro to Double and Triple Integrals
Section 5.2: Double Integral Over a Rectangular Domain

Lecture notes:

Day 21 - Monday 03/02 - Notes - Annotated notes
Day 22 - Wednesday 03/04 - Notes - Annotated notes
Day 23 - Friday 03/06 - Notes - Annotated notes

Optional practice exercises from textbook:

Section 4.1: 1, 3, 11, 13, 15, 17, 23
Section 4.2: 1, 3, 5, 13
Section 5.1: 1, 3, 9, 13, 15
Section 5.2: 1, 3, 5, 7, 11

HW 7 due Sunday 03/08 at 11:59pm

Week 10

Reading topics:

Section 5.3: Double Integral Over a General Region
Section 5.4: Changing the Order of Integration
Section 5.5: Triple Integral

Lecture notes:

Day 24 - Monday 03/09 - Notes - Annotated notes
Day 25 - Wednesday 03/11 - Notes - Annotated notes
Day 26 - Friday 03/13 - Notes - Annotated notes
Day 27 - Review - Sunday 03/15 - Annotated notes

Optional practice exercises from textbook:

Section 5.3: 1, 3, 9, 13, 17
Section 5.4: 1*, 3, 5, 7, 9
Section 5.5: 3, 5, 11, 13, 19, 23

HW 8 due Sunday 03/15 at 11:59pm

Final Exam - Monday 03/16 from 3:00pm to 6:00pm; location TBD. Seat assignment will be up later on Canvas.

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