Department of Mathematics and statistics
Mathematics 62-140,
Section 30, Differential Calculus
FALL 2004
| Announcements |
Sept 9: Class begins. Welcome.
Sept 14: Homework 1 is assigned, see "Homework" part.
Sept 21: Homework for today's lecture is assigned
Sept 24:Tutorial 1 and Tutorial 2 solutions are posted.Sept 30:.Homework for today's lecture is assigned.
Oct 5:.Test 1 Solutions is posted.
Oct 7:.This week's homework is assigned.
Oct 12:.Tutorial 3 solutions is posted.
Test 2 will be held on this thursday (October 14) 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 Tuesday's class was assigned.
Oct 18: Homework for last Thursday's class was assigned.
Oct 19: Homework for Tuesday's class was assigned.
Oct 20:.Test 2 Solutions is posted.Oct 27: Tutorial 4 solutions is posted. Homework for Tuesday's class was assigned.
Oct 29: Homework for Thursday's class was assigned.
Nov 01: Tutorial 5 questions and solutions are posted.
Test 3 will be held on this Thursday (Nov 04) during the second half of 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 02: Homework for totay's class is posted.
Nov 05: Homework for Thursday's class was posted.
Nov 12: Homework for Thursday'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 18: Homework for this week's class was posted. Tutorial 6 Solutions, Tutorial 7 questions and Solutions are 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 Thursday's class was posted.
Nov 29: Please see the notes for Lecture 21-23
Dec 3: Test 4 Solutions, Tutorial 8 Questions, Homework are 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 16 | Tutorial 1 | Tutorial 1 Solutions |
| Sept 23 | Tutorial 2 | Tutorial 2 Solutions |
| Sept 28 | Test 1 | Test 1 Solutions |
| Oct 7 | Tutorial 3 | Tutorial 3 Solutions |
| Oct 14 | Test 2 | Test 2 Solutions |
| Oct 21 | Tutorial 4 | Tutorial 4 Solutions |
| Oct 28 | Tutorial 5 | Tutorial 5 Solutions |
| Nov 4 | Test 3 | Test 3 Solutions |
| Nov 11 | Tutorial 6 | Tutorial 6 Solutions |
| Nov 18 | Tutorial 7 | Tutorial 7 Solutions |
| Nov 25 | Test 4 | Test 2 Solutions |
| Dec 2 | Tutorial 8 | Tutorial 8 Solutions |
| Lectures |
|
|
|
|
|
| Sept 9 | Lecture 1 | Introduction to course. Numbers,Inequalities. | Appendix A |
| Sept 14 | Lecture 2 | Coordinate Geometry and lines.
Graphs of
Second--Degree equations |
Appendix B,C |
| Sept 16 | Lecture 3 | Radian Measure of angles.
Trigonometric functions. |
Appendix D. |
| Tutorial 1 | |||
| Sept 21 | Lecture 4 | Trigonometric functions.
Graphs of trigonometric
functions. |
Appendix D |
| Sept 23 | Lecture 5 | Introduction to functions |
Section 1.1 |
| Tutorial 2 | |||
| Sept 28 | Lecture 6 | No Lecture |
|
| Test 1 | Test 1 will cover the first
four lectures,
review APPENDIX A, B, C, D |
||
| Sept 30 | Lecture 7 | Vertical Line Test. Special Functions. Algebra of functions. Composition of Functions. | Section 1.1, 1.2, 1.3 |
| Oct 5 | Lecture 8 | Transformation of functions. Exponential Functions. | Section 1.3, 1.5 |
| Oct 7 | Lecture 9 | Exponential functions. Inverse Functions | Section 1.5, 1.6 |
| Tutorial 3 | |||
| Oct 12 | Lecture 10 | Logarithmic Functions. Inverse trigonometric functions. Tangent problems | Section 1.6 and 2.1 |
| Oct 14 | Lecture 11 | The limit of a Function | Section 2.2 |
| Test 2 | Test 2 will cover Lecture 5--Lecture 10 | Section 1.1, 1.2, 1.3, 1.5, 1.6 | |
| Oct 19 | Lecture 12 | Limit Laws. Continuity. | Section 2.3, 2.5 |
| Oct 21 | Lecture 13 | Limits at Infinity. | Section 2.6 |
| Tutorial 4 | |||
| Oct 26 | Lecture 14 | Limits at Infinity. Tangent, Velocity and rate of change. | Section 2.6, 2.7 |
| Oct 28 | Lecture 15 | Derivatives | Section 2.8 |
| Tutorial 5 | |||
| Nov 2 | Lecture 16 | Differentiation Rules | Section 3.1 |
| Nov 4 | Lecture 17 | Differentiation Rules and the Derivatives of Trigonometric Functions | Section 3.2, 3.4 |
| Test 3 | |||
| Nov 9 | Lecture 18 | The Chain Rule and Implicit Differentiation | Section 3.5, 3.6 |
| Nov 11 | Lecture 19 | Implicit Differentiation and Higher Derivatives. | Section 3.6, 3.7 |
| Tutorial 6 | |||
| Nov 16 | Lecture 20 | Derivatives of Logarithmic Functions. Hyperbolic Functions. Related Rates. | Section 3.8, 3.9, 3.10 |
| Nov 18 | Lecture 21 | Related Rates and Linear Approximations and Differentials | Section 3.10, 3.11 |
| Tutorial 7 | |||
| Nov 23 | Lecture 22 | Maximum and Minimum Values. The Mean Value Theorem | Section 4.1, 4.2 |
| Nov 25 | Lecture 23 | Curve Sketching I. | Section 4.3 |
| Test 4 | |||
| Nov 30 | Lecture 24 | Indeterminate Forms and L'Hospital's Rule. | Section 4.4 |
| Dec 2 | Lecture 25 | Indeterminate Forms and L'Hospital's Rule. Curve Sketching II | Section 4.4, 4.5 |
| Tutorial 8 | |||
| Dec 7 | Lecture 26 |
| Homework |
Selected
Exercises From The Text.
|
|
|
| Week 0 (Sept
9) |
pp A9 Q10, Q11 |
| Week 1 (Sept 13-Sept 17) | pp A9 Q20, Q22,
Q25, Q34, Q46, Q56
ppA10 Q60 ppA15 Q4,Q7,Q14, 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, 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 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 |
| Week 7 (Oct 25-Oct 29) | pp111 Q1, Q3,
Q5, Q8, Q10, Q13,
Q15, Q18, Q20, Q23, Q25, Q28, Q30, Q35, Q36, Q37, Q39, Q45, Q46, Q49 pp133 Q3, Q7, Q9, Q11, Q13, Q15, Q17, Q19, Q22, Q25, Q31, Q32, Q35, Q37, Q39, Q41 pp146 Q2, Q4, Q5, Q7, Q11, Q13, Q15, Q17, Q21, Q23, Q37, Q39 pp155 Q1, Q3, Q5, Q7, Q9, Q11, Q15, Q17, Q24, Q27 |
| pp163 Q1, Q3, Q4, Q9, Q13, Q17, Q 19, Q21, Q23, Q25,Q27 | |
| Week 8 (Nov 1-Nov 5) | 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, Q51, Q55, Q57 pp197 Q3, Q9, Q11, Q15, Q25, Q33, Q43 |
| pp197 Q2, Q5,
Q7, Q13, Q17, Q19, Q21, Q23, Q31, Q32, Q38 pp216 Q1, Q3, Q5, Q7, Q9 |
|
| Week 9 (Nov 8-Nov 12) | pp216 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) | 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 pp286 Q15, Q17, Q19, Q21, Q29, Q31, Q33, Q35, Q37, Q41, Q43, Q47, Q49, Q51, Q53, Q55, Q57 |
| Week 12 (Nov 29-Dec 3) | 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 |