Department of Mathematics and statistics
Mathematics 62-140,
Section 07, Differential Calculus
FALL 2004
| Announcements |
Sept 10: Class begins. Welcome.
Sept 13: Homework 1 is assigned, please see "Homework" part below.
Sept 15: Homework for today's lecture is assigned.
Sept 20: Homework for today's lecture is assigned.
Sept 22: Homework for today's lecture is assigned.
Sept 24: Tutorial 1 and 2 solutions are posted.
Sept 29: Homework for Wednesday's class was assigned.Oct 1: Homework for Friday's class was assigned.
Oct 4: Homework for Monday's class was assigned. Test 1 Solutions is posted.
Oct 6: Homework for Wednesday's class was assigned.
Oct 12:.Tutorial 3 solutions is posted.
Test 2 will be held on this friday (October 15) during the class. This test will cover Lecture 5--Lecture 10. For review, please see: Lecture notes, Homework, Tutorial 3 questions and solutions. Also please see Chapter 1, Section 1.1, 1.2, 1.3, 1.5 and 1.6 in textbook. Work hard!! Good Luck!!
Oct 13: Homework for Wednesday's class was assigned.
Oct 18: Homework for today's class is assigned.
Oct 20: Test 2 Solutions is posted. Homework for today's class was assigned.
Oct 25: Homework for today's class was assigned.Oct 27: Tutorial 4 solutions is posted. Homework for today's class is assigned.
Nov 01: Tutorial 5 questions and solutions are posted. Homework for today's class is assigned.Test 3 will be held on this friday (Nov 05) during the class. This test will cover Lecture 11--Lecture 16. For review, please see: Lecture notes, Homework, Tutorial 4 and 5 questions and solutions. Also please see Section 2.2---2.9 in textbook.
Nov 04: Homework for Wednesday's class was posted.
Nov 07: Homework for today's class is assigned.
Nov 12: Homework for Wednesday's class was posted. Test 3 Solutions and Tutorial 6 were posted. If you missed tutorial, please download from below and work on your own.
Nov 16: Homework for Monday's class was posted.
Nov 19: Homework for Wednesday's class was posted. Tutorial 6 Solutions, Tutorial 7 Questions and Solutions are posted.
Nov 23: Homework for Monday's class was posted.
Test 4 will be held on this friday (Nov 26) during the class. This test will cover Lecture 16--Lecture 21. For review, please see: Lecture notes, Homework, Tutorial 6 and 7 questions and solutions. Also please see Section 3.1----3.11, and 4.1.
Nov 27: Homework for Wednesday's class was posted.
Nov 29: Homework for Monday's class was posted.
Nov 29: Please see the notes of Lecture 21-23
Dec 3: Test 4 Solutions, Tutorial 8 Questions, Homework are posted.
Dec 6: Homework is posted.
Dec 7: Tutorial 8 Solutions are posted.
You can find your term marks here: Tutorial Marks, Test Marks
The final exam is held in St.Denis Centre December 13, 12:00-3:00pmNotice:
I already finish marking, and will post unofficial marks on this Friday. Hope all of you have a good holiday, a Merry Christmas and a Happy New Year.
Here you can find your marks of final exam.
FINAL EXAM MARKS.
| Course Information |
Please see course Syllabus.
| Handouts |
In the following, you will find the handouts of this course. I try to make the tutorial and test questions and solutions available as soon as possible. (Unfortunately, this is often not until shortly after each tutorial.)
|
Date |
Questions |
Solutions |
| Sept 17 | Tutorial 1 | Tutorial 1 solutions |
| Sept 24 | Tutorial 2 | Tutorial 2 solutions |
| Sept 27 | Test 1 | Test 1 Solutions |
| Oct 8 | Tutorial 3 | Tutorial 3 Solutions |
| Oct 15 | Test 2 | Test 2 Solutions |
| Oct 22 | Tutorial 4 | Tutorial 4 Solutions |
| Oct 29 | Tutorial 5 | Tutorial 5 Solutions |
| Nov 5 | Test 3 | Test 3 Solutions |
| Nov 12 | Tutorial 6 | Tutorial 6 Solutions |
| Nov 19 | Tutorial 7 | Tutorial 7 Solutions |
| Nov 26 | Test 4 | Test 2 Solutions |
| Dec 3 | Tutorial 8 | Tutorial 8 Solutions |
| Lectures |
See here a running list of topics covered in class.
|
Date |
Lecture and Tutorial |
Topic |
Reading |
| Sept 10 | Lecture 1 | Introduction to
course. |
Syllabus |
| Sept 13 | Lecture 2 | Numbers, inequalities, absolute values. Coordinate Geometry and Lines | Appendix A,B |
| Sept 15 | Lecture 3 | Coordinate
Geometry and Lines. Graphs of
second-degree equations |
Appendix B,C |
| Sept 17 | Tutorial 1 | ||
| Sept 20 | Lecture 4 | Radian measure of angles. Trigonometric functions. Trigonometric Identities | Appendix D |
| Sept 22 | Lecture 5 | Trigonometric Identities. Graphs of Trigonometric functions | Appecndix D |
| Sept 24 | Tutorial 2 | ||
| Sept 27 | Test 1 | Test 1 will cover Lecture1--Lecture5 | Appendix A,B,C and D |
| Sept 29 | Lecture 6 | Functions. Graphs of functions. Some special functions | Section 1.1 1.2 |
| Oct 1 | Lecture 7 | Essential Functions. Algebra of functions. Composition of Functions. | Section 1.2, 1.3 |
| Oct 4 | Lecture 8 | Transformation of functions. Exponential Functions. | Section 1.3, 1.5 |
| Oct 6 | Lecture 9 | Exponential functions. Inverse Functions | Section 1.5, 1.6 |
| Oct 8 | Tutorial 3 | ||
| Oct 13 | Lecture 10 | Logarithmic Functions. Inverse trigonometric functions. Tangent problems. | Section 1.6, 2.1 |
| Oct 15 | Test 2 | Test 2 will cover Lecture 5--Lecture 10 | Section 1.1, 1.2, 1.3, 1.5, 1.6 |
| Oct 18 | Lecture 11 | The limit of a function | Section 2.2 |
| Oct 20 | Lecture 12 | Limit Laws |
Section 2.3 |
| Oct 22 | Tutorial 4 | ||
| Oct 25 | Lecture 13 | Continuity. Limits
at Infinity. |
Section 2.5, 2.6 |
| Oct 27 | Lecture 14 | Limits at Infinity. Tangent, Velocity, Rate of change | Section 2.6, 2.7 |
| Oct 29 | Tutorial 5 | ||
| Nov 1 | Lecture 15 | Derivatives. The derivative as a function | Section 2.8, 2.9 |
| Nov 3 | Lecture 16 | Differentiation Rules | Section 3.1, 3.2 |
| Nov 5 | Test 3 | ||
| Nov 8 | Lecture 17 | Derivatives of Trigonometric Functions. The Chain Rule. | Section 3.4, 3.5 |
| Nov 10 | Lecture 18 | Implicit Differentiation and Higher Derivatives. | Section 3.5, 3.6 |
| Nov 12 | Tutorial 6 | ||
| Nov 15 | Lecture 19 | Higher Derivatives. Derivatives of Logarithmic Functions. Hyperbolic Functions | Section 3.7, 3.8, 3.9 |
| Nov 17 | Lecture 20 | Related Rates and Linear Approximations and Differentials | Section 3.10, 3.11 |
| Nov 19 | Tutorial 7 | ||
| Nov 21 | Lecture 21 | Maximum and Minimum Values | Section 4.1 |
| Nov 24 | Lecture 22 | The Mean Value Theorem | Section 4.2 |
| Nov 26 | Test 4 | ||
| Nov 29 | Lecture 23 | Curve Sketching I | Section 4.3 |
| Dec 1 | Lecture 24 | Indeterminate Forms and L'Hospital's Rule. | Section 4.4 |
| Dec 3 | Tutorial 8 | ||
| Dec 6 | Lecture 25 | Curve Sketching II. Optimization Problems | Section 4.5, 4.7 |
| Dec 8 | Lecture 26 | Review Lecture |
| Homework |
Selected
Exercises From The Text.
|
|
|
| Week 1 (Sept 13-Sept 17) | ppA9 Q10, Q11,Q20,Q22,Q25,Q34
Q46 Q56 ppA 10 Q60 ppA15 Q4 Q7
Q14 |
| ppA15 Q17, Q30, Q36 ppA16 Q47,Q50,Q52 ppA23 Q8, Q11, Q16, Q30,Q34 | |
| Week 2 (Sept 20-Sept 24) | ppA32 Q1, Q4, Q7, Q8, Q12, Q17, Q20, Q22, Q23, Q24, Q26, Q30, Q32, Q34, Q36, Q38, Q39 |
| ppA32
Q42, Q44, Q48,Q50, Q54,
Q60, Q62, Q65, Q69, Q74, Q76, Q78 |
|
| Week 3 (Sept 27-Oct 1) | pp22 Q1,Q5,Q9,Q19,Q21,Q23,Q25,Q27,Q31,Q33,Q39,Q43 |
|
pp35 Q1 (b)(d)(f) Q2 (b)(d)(f), Q3, Q5, Q11, Q11, Q15, Q16 pp47 Q31, Q33, Q35, Q37, Q39 |
|
| Week 4 (Oct 4-Oct 8) | pp47 Q42. pp62 Q1, Q5, Q9, Q11, Q13, Q19 |
| pp62
Q1, Q5, Q9, Q11, Q13, Q19
pp74 Q1,Q3,Q9, Q17, Q19, Q20 |
|
| Week 5 (Oct 11-Oct 15) | pp74 Q23, Q24, Q25, Q27, Q31, Q33, Q35, Q36, Q37, Q38, Q40, Q42 (a), Q49, Q51, Q63, Q65, Q67, Q69, Q71 |
| Week 6 (Oct 18-Oct 22) | pp91 Q3, Q4,Q5 pp102 Q2, Q4, Q5, Q12, Q13, Q15, Q19, Q23, Q25, Q33 |
| pp111
Q1, Q3, Q5, Q8, Q10, Q13,
Q15, Q18, Q20, Q23, Q25, Q28, Q30, Q35, Q36, Q37, Q39, Q45, Q46, Q49 |
|
| Week 7 (Oct 25-Oct 29) | pp133 Q3, Q7, Q9, Q11, Q13, Q15,
Q17, Q19, Q22, Q25, Q31,
Q32, Q35, Q37, Q39, Q41 pp146 Q2, Q4, Q5, Q7, Q11 |
| pp146
Q13, Q15, Q17, Q21, Q23,
Q37, Q39 pp155 Q1, Q3, Q5, Q7, Q9, Q11, Q15, Q17, Q24, Q27 |
|
| Week 8 (Nov 1-Nov 5) | pp163 Q1, Q3, Q4, Q9, Q13, Q15,
Q17, Q19, Q21, Q23, Q25, Q27 pp173 Q4, Q13, Q20, Q21, Q23, Q25, Q27, Q29, Q32, Q46 pp177 Q3, Q5, Q7, Q9, Q11, Q13, Q15, Q17, Q19, Q24, Q26, Q31, Q34, Q37 |
| pp191
Q3, Q5, Q7, Q9, Q11, Q13,
Q15, Q17, Q21, Q23, Q27, Q29, Q31, Q39, Q45, Q49 pp197 Q2, Q3, Q5, Q7, Q9, Q11, Q13, Q15, Q17, Q19, Q21, Q23, Q25, Q31, Q32, Q33, Q38, Q43 |
|
| Week 9 (Nov 8-Nov 12) | pp216 Q1, Q3, Q5, Q7, Q9, Q11,
Q13, Q15, Q17, Q20, Q21, Q22,
Q24, Q30, Q35, Q37, Q39, Q43 pp224 Q1, Q3, Q5, Q7, Q9, Q11, Q13, Q15, Q17, Q19, Q21, Q23, Q25, |
| pp224
Q27, Q29, Q33, Q35, Q37,
Q41, Q43, Q45, Q51, Q53, Q61, Q63 pp233 Q1, Q3, Q5, Q7, Q9, Q11, Q13, Q15, Q17, Q19, Q21, Q23, Q25 Q27, Q41, Q43, Q45. pp240 Q5, Q7, Q9, Q11, Q13, Q15, Q23, Q25, Q27, Q29, Q31, Q33, Q35. |
|
| Week 10 (Nov 15-Nov 19) | pp240 Q5, Q7, Q9, Q11, Q13, Q15,
Q23, Q25, Q27, Q29, Q31,
Q33, Q35. pp249 Q2, Q3, Q5, Q7, Q9, Q11, Q13, Q15, Q17, Q19, Q21, Q23, Q25, Q27, Q29, Q31, Q35, Q37, Q39, Q41, Q43, Q45, Q48, Q49 |
| pp254
Q1, Q3, Q5, Q7, Q9, Q11,
Q15, Q17, Q31, Q33, Q35, Q37, Q39, Q41, Q45 pp260 Q1, Q3, Q5, Q8, Q11, Q15, Q17, Q21, Q23, Q33 pp267 Q4, Q5, Q7, Q9, Q13, Q15, Q17, Q19, Q21, Q23, Q25, Q27, Q29, Q31, Q33, Q41 |
|
| Week 11 (Nov 22-Nov 26) | pp270 Q1, Q3, Q5, Q7, Q9, Q11,
Q13, Q15, Q17, Q19, Q21, Q23,
Q25, Q27, Q29, Q31, Q33, Q35, Q37, Q39, Q41, Q43, Q45, Q47, Q49, Q51,
Q53, Q55, Q57, Q59, q65, Q69, Q77, Q87 |
| Week 12 (Nov 29-Dec 3) | pp286 Q15, Q17, Q19, Q21, Q29,
Q31, Q33, Q35, Q37, Q41, Q43,
Q47, Q49, Q51, Q53, Q55, Q57 pp304 Q8, Q11, Q13, Q14, Q15, Q17, Q21, Q23, Q27, Q33, Q35, Q37, Q39, Q41, Q45, Q47, Q49 |
| pp313 Q3, Q7, Q9, Q11, Q15, Q17, Q19, Q27, Q29, Q31, Q33, Q35, Q37, Q39, Q41, Q43, Q45, Q47, Q49, Q51, Q53, Q55, Q57, Q59, Q67 | |
| Week 13 (Dec 6-Dec 8) | pp323 Q1, Q3, Q5, Q7, Q9, Q11,
Q13, Q15, Q17, Q19, Q21, Q23,
Q25, Q27, Q33, Q41, Q45 pp336 Q3, Q5, Q7, Q9, Q11, Q14, Q15, Q20, Q21, Q23, Q25, Q28, Q31, Q43, Q44 |