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## Math 323 Calculus III

### Sections

Section Number Instructor Meeting times
01 Charles Evans MWF 8:00-9:30 OH G102
02 Charles Evans MWF 9:40-11:10 OH G102
03 Vaidehee Thatte MWF 11:20-12:50 OH G102
04 Vaidehee Thatte MWF 1:10-2:40 OH G102
05 Walter Carlip MWF 2:50-4:20 OH G102
06 William Kazmierczak MWF 4:40-6:10 OH G102
07 Changwei Zhou MWF 4:40-6:10 SW 214

Course coordinator: William Kazmierczak

#### Textbook:

Multivariable Calculus, Eighth Edition, James Stewart
You will need the online code.

• Chapter 12: Vectors and the Geometry of Space
• Chapter 13: Vector Functions
• Chapter 14: Partial Derivatives
• Chapter 15: Multiple Integrals
• Chapter 16: Vector Calculus

### Prerequisite:

Math 222, Math 227, or Math 230

### Course Objectives:

Develop theoretical and practical skills for multivariable calculus.

### Evaluation:

The final grade will be determined as follows:

• Test 1, 15% (Week 5)
• Test 2, 15% (Week 10)
• Test 3, 15% (Week 14)
• Quizzes, 15%
• Homework, 5%
• Final, 35% (TBD)*

### Tentative Schedule:

Week Dates Sections Topics
1 Aug 22–24 12.1 3-D Coordinates
12.2 Vectors
2 Aug 27–31 12.3 Dot Products
12.4 Cross Products
12.5 Lines and Planes
3 Sep 3–7 No Class: Labor Day Holiday
13.1 Vector Valued Functions
4 Sep 10–14 No Class: Rosh Hashanah Holiday
13.2 Derivatives of Vector Valued Functions
13.3 Arc Length
5 Sep 17–21 13.4 Motion in Space
No Class: Yom Kippur Holiday
Exam 1 Review: Chapters 12 and 13
6 Sep 24–28 Exam 1 Chapters 12 and 13
14.1 Functions of Several Variables
14.2 Limits and Continuity
7 Oct 1–5 14.3 Partial Derivatives
14.4 Tangent Planes and Linear Approximation
14.5 The Chain Rule
8 Oct 8-12 14.6 Directional Derivatives and the Gradient
14.7 Maxima and Minima
No class: Fall Break
9 Oct 15–19 14.8 Lagrange Multipliers
15.1 Double Integrals over Rectangles
15.2 Double Integrals over General Regions
10 Oct 22–26 15.3 Double Integrals in Polar Coordinates
Exam 2 Review: Chapter 14 and Sections 15.1 - 15.3
Exam 2 Chapter 14 and Sections 15.1 - 15.3
11 Oct 29-Nov 2 15.6 Triple Integrals
15.7 Triple Integrals in Cylindrical Coordinates
15.8 Triple Integrals in Spherical Coordinates
12 Nov 5-9 15.9 Change of Variables
16.1 Vector Fields
16.2 Line Integrals
13 Nov 12-16 16.3 The Fundamental Theorem of Line Integrals
16.4 Green's Theorem
16.5 Curl and Divergence
14 Nov 19-23 Review for Exam 3: Sections 15.4 - 15.9 and 16.1 - 16.5
Exam 3 Sections 15.4 - 15.9 and 16.1 - 16.5
16.6 Parametric Surfaces
15 Nov 26-30 16.7 Surface Integrals
No Class: Thanksgiving Holiday
No Class: Thanksgiving Holiday
16 Dec 3-7 16.8 Stokes' Theorem
16.9 The Divergence Theorem
Review
Dec 10-14 Cumulative Final Exam TBA

#### Sample Final Examinations:

Sample examinations can be found at the following address:

### Help Outside of Class:

Your instructor will inform you of their office hours for your section.

### Disability Services:

If you need accommodations to to a disability, please see your instructor with documentation from Services for Students with Disabilities. We will do our best to accommodate your needs.