Homepage for MAS100 - College Mathematics - Fall 2012
BASIC INFORMATION
Syllabus and course information.
Please come see me if you have any questions.
Office Hours: Tuesday 16.00 - 17.00 and Thursday: 15.00 - 16.00.
(If these times are not convenient just make an appointment by email
or phone! )
Office: E6-1 4411
Email: andreash[at]kaist.edu
Phone: 350 7300
LECTURES
TIME: Tuesday / Thursday: 10.30 - 11.50.
PLACE: Building E6-1, Room 4415 (New classroom)
NOTICES
- 09/04: First class. Important information will given on the first day!
- 09/06: Pre-test.
- 09/18: Problem solving classes start! See Information below.
- 09/25: LECTURE CANCELLED!
- 09/27: LECTURE CANCELLED!
- 10/02: NO LECTURE: HOLIDAY.
- 10/11: Extra Problem Solving Section: 9-11pm, Room 101, Creative Learning Building.
- 10/16: NEW CLASSROOM! Starting 10/18 we will change classroom to room 2413, building E6-1.
- 10/18: Extra Problem Solving Section: 9-11pm, Room 101, Creative Learning Building.
- 11/06: NEW CLASSROOM: 4415 in building E6-1.
- 11/15: NO CLASS!!
- 11/27: Review for 2nd Midterm exam.
- 11/29: Second Midterm exam.
- 12/20: FINAL EXAM. For CLAIMS and results see Notice below
1st MIDTERM EXAM
Time: Thursday 10/25, 10.30 - 13.00
Room: 2413 , E6-1 (Usual lecture room.)
Scope: Chapters: (1), 2, 3.1, 3.2, 3.3, 3.5, 3.6, 3.7, 3.8, 4.1, 4.2, 4.3
Please arrive at the exam room at least 5 minutes before exam
start!
2nd MIDTERM EXAM
Time: Thursday 11/29, 10.30 - 12.30
Room: Building E6-1, Room 4415
Scope: Chapters: 5, 8.1, 8.2, 6.1, 6.2
Please arrive at the exam room at least 5 minutes before exam
start!
For pracitce do the Additional and Advanced Exercises page 358 - 361.
See also latest exercises, below.
FINAL EXAM
Time: Thursday 12/20, 10.30 - 13.30.
Room: Building E6-1, Room 4415.
Scope: Chapters: 6.3, 6.4, 6.6, 11.1, 11.2, 11.3, 11.4, 11.5
(For practice try the suggested problems below.)
For Results and Claims please contact me by email for an appointment.
WEEKLY PROGRESS
Here we update the progress made in the lectures.
- 09/04: First class. Important information will given on the first day!
- 09/06: Preliminary EXAM day.
- 09/11: Chapter 1: Basic functions and operations.
- 09/13: Chapter 1: Properties of basic functions. Practice exercises.
- 09/18: Chapter 2: Introduction to Limits. The precise definition of
limit.
- 09/20: Chapter 2: Using the precise definition o limits to prove theorems. limit (sin x) / x as x tends to 0.
- 10/04: Chapter 2: Continuity, limits involving infinity, and asymptotes.
- 10/09: Chapter 3: Differentiation, polynomials, exponential functions, trigonometric functions, linearity, product and quotient rule.
- 10/11: Chapter 3: The chain rule, implicit differentiation.
- 10/16: Chapter 4: Extrema of functions, first derivative test.
- 10/18: Chapter 4: Mean Value Theorem.
- 10/30: Chapter 4: Second derivative test, L'Hopital's rule, Newton's method.
- 11/01: Chapter 5: Antiderivatives, Sigma notation, and integrable functions.
- 11/06: Chapter 5: The definite integral, Riemann sums, the fundamental theorem of Calculus.
- 11/08: Chapter 5: The fundamental theorem of Calculus, indefinite integrals, substitution method.
- 11/13: Chapter 8: Integration techniques: integration by parts, trigonometric functions, partial fractions.
- 11/20: Chapter 5: Area between curves, average of a function, change order of integration, volume estimation by cross sections.
- 11/22: Chapter 6: Estimating volumes of solids of revolution, washer method, cylindrical shells.
- 11/27: Chapter 6: Review
- 11/29: Second midterm exam.
- 12/04: Chapter 6: Arc length, area of surfaces of revolution.
- 12/06: Chapter 6: the centroid and Pappus theorem
for volumes.
- 12/11: Chapter 11: Parametric equations and curves,
polar coordinates.
- 12/13: Chapter 10: Power series and Taylor Series.
- 12/20: FINAL EXAM
PROBLEM SOLVING SESSION
Every week there will be a Problem Solving Session.
It is important that everyone attends this.
Each week there will be a list of suggested problems.
Some of these you must hand in as homework (see below).
TIME: Tuesdays 8.00 - 10.00 PM
Room: 209 (E11 - Creative Learning Building)
TA: Park, Chinkang
Email: pjiga06 [at] kaist.ac.kr
Every week you should work on the suggested problems. If there are any exercises
in the book that you have difficulties with you should let the TA know.
The TA will answer your questions during the Problem Solving Session.
The Problem Solving Sessions will be used for working in groups on next weeks problems. Your TA will be present to assist you.
HOMEWORK AND
SUGGESTED EXERCISES
Here is a list of suggested exercises from the textbook. You should
try to solve every exercise. The problems marked by * will be handed
in as homework.
-
Page 53 - 55: Practice exercises.
4*, 6, 8, 10, 14, 16, 18, 30*, 36, 40, 42, 44, 48, 74*.
Page 55 - 57: Additional exercises.
2, 4, 6, 12, 14*, 20*.
Homework due date: September 18
-
Page 73 - 76: Exercises 2.2.
2, 4, 8*, 18, 22, 28, 32, 38, 44, 46, 52, 66*, 78, 82
Page 82 - 84: Exercises 2.3.
4, 22, 28*, 42, 46*, 48, 50, 52, 54*, 58
Homework due date: September 27
- Extra problems:
- Prove the limit laws on page p. 68 using the precise definition of limits.
- Find functions f and g such that f has limit L as
x tends to c,
and g has limit c as x tends to k, but such that the
limit of f(g(x)) does not equal L.
-
Page 90 - 92: Exercises 2.4.
3, 16*, 30, 32, 36, 46*, 48
Page 101 - 103: Exercises 2.5.
14, 20, 24, 34, 38, 40*, 44, 46, 48, 54, 56*, 60, 62, 66*
Homework due date: October 02
-
Page 114 - 116 : Exercises 2.6.
2, 14*, 18, 26*, 42, 74*, 80, 82, 92, 102
Page 117 - 118 : Practice Exercises.
4, 12, 16
Page 120 - 121 : Additional Exercises.
14, 20*, 22, 26, 28*
Homework due date: October 09
-
Page 125 - 126 : Exercises 3.1.
12, 14, 18, 22, 36
Page 131 - 135: Exercises 3.2.
8, 10, 12, 18, 44, 46, 48, 54*
Page 143 - 145: Exercises 3.3.
8*, 18, 22*, 32, 34, 42*, 56, 58, 60*
Homework due date: October 16
- Suggested practice problems before midterm exam:
-
Page 159 - 162: Exercises 3.5.
2, 3, 7, 16, 24, 29, 57,
-
Page 167 - 170: Exercises 3.6.
3, 10, 12, 14, 31, 33, 51, 72, 76, 96
-
Page 174 - 175: Exercises 3.7.
4, 8, 14, 16, 24, 26, 41, 44, 52
-
Page 227 - 230: Exercises 4.1.
8, 10, 26, 28, 31, 36, 37
-
Page 236 - 238: Exercises 4.2.
15, 18, 23, 25, 34, 36*, 40, 58, 60, 66
-
Page 241 - 243: Exercises 4.3.
8, 10*, 66
Page 251 - 254: Exercises 4.4.
60, 64, 80, 102*, 112, 116
Page 261 - 262: Exercises 4.5.
20, 24, 30, 38, 40, 76*
Page 277 - 279: Exercises 4.7.
6, 10*, 26
-
Page 268 - 274 : Exercises 4.6.
8, 12, 24*, 28, 36, 48, 50, 64
Page 285 - 289: Exercises 4.8.
28, 30, 36, 40, 42, 62, 76, 78, 86*, 88*, 90, 94, 96
Page 285 - 289: Exercises 5.2.
42, 44*, 46
Homework due date: November 06
-
Page 321 - 325: Exercises 5.3.
10, 12, 18, 30, 36, 44, 46, 72*, 76, 78, 82
Page 333 - 336: Exercises 5.4.
4, 10, 20*, 32, 38*, 62, 78, 82
Page 342 - 344: Exercises 5.5.
8, 10, 14, 38, 44*, 46, 50, 52*
Homework due date: November 13
-
Page 342 - 344: Exercises 5.5.
36, 68*
Page 350 - 354: Exercises 5.6.
48, 56, 60, 106*, 112, 114, 116*
Page 358 - 361: Additional Exercises
26, 28, 44
Page 450 - 461: Exercises 8.1.
10*, 20, 22*, 24, 26, 52
Homework due date: November 20
-
Page 371 - 373: Exercises 6.1: 2, 4, 6, 10, 16, 18, 20, 28, 60.
Page 379 - 381: Exercises 6.2: 2, 4, 8, 10, 16, 28, 40, 44
-
Page 386 - 387: Exercises 6.3: 11, 13, 16, 20a, 22.
Page 391 - 394: Exercises 6.4: 9, 10, 13, 14, 21, 28, 29, 32.
Page 411 - 413: Exercises 6.6: 19, 35, 36, 37.
-
Page 634 - 636 : Exercises 11.1: 19 , 20 , 31 , 32 , 34 ,
36 , 39 , 40.
Page 643 - 645 : Exercises 11.2: 8, 9, 11, 18, 21, 22, 25,
26, 27, 28, 41, 45, 46
Page 648 - 649 : Exercises 11.3: 1, 2, 3, 5, 6, 8, 9, 12,
14, 23, 35, 36, 61, 62, 68
Page 652 - 653 : Exercises 11.4: 1, 4, 8, 17, 18, 19, 20,
21, 28
Page 656 - 657 : Exercises 11.5: 1 , 2 , 5 , 6 , 14 , 15 , 21 , 24 , 25 , 27 , 31 , 32.
EXTRA
INFORMATION
Here is a website where you can practise some simple calculus problems:
college math pre-test
Back to my homepage.