Introduction
Multivariate calculus tools are ubiquitous in modeling for engineering, biology and finance. This course proposes an in-depth introduction to the basic mechanisms in functions of several variables and vector-valued functions. We begin with a review of the basic elements of vector calculus. Next we will introduce the notion of curves on a surface. Then we shall focus on functions of several variables: optimization and integration. Eventually we go back to vector calculus, culminating in Green's and Stokes' thorems.
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Bibliography
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Briggs, Cochran, Gillett, Schulz:
Calculus: Early Transcendentals. Pearson, 2019.
Note that the MyLab Math access for online homework includes an electronic copy of the textbook.
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Important links
Please consult the
course webpage.
Here is a link to the
course calendar.
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Homework
The homework will be taken from the MyLab Math.
Homeworks are usually due on Tuesday and Thursday.
The assignment is given in the attached calendar.
Rules for the homework:
The assignment is given in the attached calendar.
Rules for the homework:
- Please resolve any error in the grading (hws and tests) WINTHIN ONE WEEK after the return of each homework and exam.
- No late homeworks are accepted.
- You are encouraged to discuss the homework problems with your classmates but all your handed-in homeworks must be your own work.
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Midterms
Our Midterm 1 will be on Oct 4 at 8pm, Elliott Hall 116 and Stewart 183.
Program: Lessons 1-16 (see calendar).
This link sends you to the Spring 22 Midterm 1
These are some written solutions: Spring 22 Midterm 1 Solutions
This is a link to a Spring 19 Midterm 1
The solutions can be found here: Spring 19 Midterm 1 Solutions
This link sends you a Study guide for Midterm 1
Our Midterm 2 will be on Nov 8 at 8pm, Elliott Hall 116 and Stewart 183.
Program: Lessons 17-27 (see calendar).
This is a link to a Spring 22 Midterm 2
The solutions can be found here: Spring 22 Midterm 2 Solutions
This is a link to a Spring 19 Midterm 2
The solutions can be found here: Spring 19 Midterm 2 Solutions
This link sends you a Study guide for Midterm 2
Program: Lessons 1-16 (see calendar).
This link sends you to the Spring 22 Midterm 1
These are some written solutions: Spring 22 Midterm 1 Solutions
This is a link to a Spring 19 Midterm 1
The solutions can be found here: Spring 19 Midterm 1 Solutions
This link sends you a Study guide for Midterm 1
Our Midterm 2 will be on Nov 8 at 8pm, Elliott Hall 116 and Stewart 183.
Program: Lessons 17-27 (see calendar).
This is a link to a Spring 22 Midterm 2
The solutions can be found here: Spring 22 Midterm 2 Solutions
This is a link to a Spring 19 Midterm 2
The solutions can be found here: Spring 19 Midterm 2 Solutions
This link sends you a Study guide for Midterm 2
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Final exam
Our Final will be on Final week.
Program: comprehensive.
Here is the Fall 17 Final and some Solutions
This link sends you to the Spring 19 Final together with some Solutions
This is a link to a Study Guide for the Final
Program: comprehensive.
Here is the Fall 17 Final and some Solutions
This link sends you to the Spring 19 Final together with some Solutions
This is a link to a Study Guide for the Final
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Office hours
11:30am-1pm on Friday, on Zoom.
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Slides (Feedback on typos appreciated)
- Ground rules and related Syllabus
- Vectors and the Geometry of Space
- Vector-Valued Functions
- Functions of Several Variables
- Multiple Integration
- Vector Calculus
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Documents with computations (notes from lectures)
- Lesson 1
- Lesson 2
- Lesson 3
- Lesson 4
- Lesson 5
- Lesson 6
- Lesson 9
- Lesson 10
- Lesson 11
- Lesson 12
- Lesson 13
- Lesson 14
- Lesson 15
- Lesson 16
- Lesson 17
- Lesson 18
- Lesson 19
- Lesson 20
- Lesson 21
- Lesson 22
- Lesson 23
- Lesson 24
- Lesson 25
- Lesson 26
- Lesson 27
- Lesson 28
- Lesson 29
- Lesson 34
- Lesson 35
- Lesson 36
- Lesson 37
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