The Twinning Engineering Programmes (TEP)
Thammasat English Programme of Engineering (TEPE)
Thammasat University
MA 112 (Sec 750001) Analytic Geometry and Applied Calculus
Instructor: Dr. Archara Pacheenburawana
Semester 3/2012
E-mail: archara@mathstat.sci.tu.ac.th
Office: Room LC 3 – 119, Dept. of Mathematics and Statistics
Faculty of Science and Technology, Thammasat University
Office Hours: Tue 13:30 – 16:30pm., Thu 9:30am – 12:30pm.
Class URL: http://mathstat.sci.tu.ac.th/~archara/
Please check this page regularly for announcements and updates.
Class Time: Mon, Wed, Thu 13:30 – 16:30pm.
Room: Eng 606/1
Course Description: Analytic geometry for Conic sections; second degree equations; vectors
transformation of coordinates; polar coordinates and functions of several variables; partial
derivatives; multiple integrals; scalar fields and vector fields; derivative of vector valued
functions; Integration in the vector fields; Gauss’s Theorem; Green’s Theorem and Stoke’s
Theorem
References:
1. Anton, H., Bivens, I., and Davis, S. Calculus Late transcendentals, 10th ed., John Wiley
& Sons Inc, 2013.
2. Stewart, James, Calculus Single Variable, 5th ed., Brooks/Cole Publishing Company,
2003.
Tentative Schedule:
Period
Contents
1 – 2 Chapter 1. Topics in Analytic Geometry
- Conic Sections
- Rotation of Axes; Second-Degree Equations
3 – 4 Chapter 2. Parametric and Polar Curves
- Parametric Equations; Tangent Lines and Arc Length
for Parametric Curves
- Polar Coordinates
- Tangent Lines, Arc Length, and Area for Polar Curves
5 – 6 Chapter 3. Three-Dimensional Space; Vectors
- Rectangular Coordinates in 3-Space; Spheres;
Cylindrical Surfaces
- Vectors
- Dot Product; Projections
- Cross Product
- Parametric Equations of Lines
- Planes in 3-Space
Midterm Examination Date: To be announced
7
- Quadric Surfaces
- Cylindrical and Spherical Coordinates
8-9
Chapter 4 Vector-Valued Functions
- Introduction to Vector-Valued Functions
- Calculus of Vector-Value Functions
- Change of Parameter; Arc Length
- Unit Tangent and Normal Vectors
10 - 11 Chapter 5. Partial Derivatives
- Function of Two or More Variables
- Limits and Continuity
- Partial Derivatives
- Differentiability, Differentials, and Local Linearity
- The Chain Rule
- Directional Derivatives and Gradients
12 - 13 Chapter 6. Multiple Integrals
- Double Integrals
- Double Integral over Nonrectangular Regions
- Double Integrals in Polar Coordinates
- Triple Integrals
- Triple Integrals in Cylindrical and Spherical Coordinates
14 – 15 Chapter 7. Topics in Vector Calculus
- Vectors Fields
- Line Integrals
- Independence of Path; Conservative Vector Fields
- Green’s Theorem
- Surface Integrals
- The Divergence Theorem
- Stokes’ Theorem
Final Examination Date: To be announced
Course Evaluation: Midterm Examination
Final Examination
Attendance, Quizzes, and Class Participation
35 %
55 %
10 %
Instruction:
 Class Attendance: Attendance is required and will be taken regularly. Attendance,
quizzes, and class participation will account for 5% of total grades. All students are
required to come to lectures on time and stay for the entire lecture period, dress
properly and turn off any communication devices. Should you miss class, your first
step should be to get notes from a fellow student and try to understand the material on
your own. Only then approach me during my office hours if you have questions.
Students who miss more than 30% of classes will not be allowed to take the final
exam and will automatically fail (Grade F) the course.
 Quizzes: There will be ten minute quizzes held occasionally without prior
notification. The lowest quiz score will be dropped and so no make-up quizzes will be
given for any reason.
 Calculator: No calculator is needed for this course. Calculators will not be allowed
for quizzes, midterm or final exams.
 Midterm marks: Students with midterm exam scores below 75 percent of the course
average will be asked to withdraw from the course.
Class Decorum: If you engage in a behavior that is disruptive to the class, you will be asked
to leave the classroom and will automatically receive a score of zero on your weekly quiz /
homework and class participation.
Cautionary Notes: A general rule of thumb is to put in two extra house of class, but you
may require more than that, because of the nature of the abstract mathematical concept you
will need to understand.
Class Calendar
March 2013
Time
Sun
Mon
Tue
Wed
Thu
Fri
Sat
1
2
13.30 - 16.30
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24/31
25
26
27
28
29
30
13.30 - 16.30
13.30 - 16.30
13.30 - 16.30
MA112
13.30 - 16.30
MA112
Make-up
MA112
MA112
April 2013
Time
Sun
Mon
Tue
1
Wed
2
7
8
9
Holiday
13.30 - 16.30
14
Holiday
13.30 - 16.30
21
22
23
Cancel
13.30 - 16.30
28
10
16
29
Sat
4
5
6
11
12
13
19
20
Cancel
MA112
15
Fri
3
Cancel
MA112
13.30 - 16.30
Thu
Midterm
17
18
Make-up
MA112
MA112
MA112
24
MA112
25
MA112
26
27
30
MA112
13.30 - 16.30
May 2013
Time
Sun
Mon
Tue
Wed
Thu
Fri
1
3
4
8
9
10
11
MA112
13.30 - 16.30
5
6
7
Holiday
13.30 - 16.30
Sat
2
MA112
MA112
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
13.30 - 16.30
13.30 - 16.30
13.30 - 16.30