Instructor: Shingyu Leung
Email: masyleung @ ust.hk
Office: 3491
Office hours: TBA
Class webpage: http://www.math.ust.hk/~masyleung/021.10s.html
Class blog: http://math021-2011s.blogspot.com/
TA: LI Wenbin
Email: lwb
Lectures: MWF 1230-1320, Room 2304
Tutorials: F 1800-1850, Room 1504
Textbook: Univeristy Calculus - Hass, Weir, Thomas, First edition. Chapters 1-5,7-9
Midterm: TBA
Final: TBA
Announcement
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Grading Scheme
0% Homework: Homework will be assigned more or less weekly. You don't have to but ARE HIGHLY ENCOURAGED
to finish it.
10% Bi-weekly Quizzes (2% each): Best 5 out of 7 will be counted. Quiz problems will be based
on the homework assignments. Quiz dates: In tutorial on 2/18, 3/4, 3/18, 4/1, 4/15, 4/29, 5/13.
30% Midterm.
60% Final: Comprehensive, i.e. all materials taught in the whole semester will be tested,
including those already tested in the miderm exam. But focus will be on those topics not covered
in the midterm.
Extra credit: class participation, 0.5% each with 5% max.
Exams are closed books and notes, no calculator.
More information will be given in the lecture prior to the exams.
No make-up exams.
Quizzes
2011 Spring Quizzes with Solutions
Past Papers
2008 Fall Midterm Exam 2008 Fall Final Exam 2009 Fall Midterm Exam 2009 Fall Final Exam 2010 Fall Midterm Exam 2010 Fall Final Exam 2010 Fall Final Exam (Solution)
Homeworks and Their Solutions
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Actual Schedule of Lectures
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Schedule of Lectures (Tentative)
Functions (Sections 1.1-1.5): 4 hours
Functions and their graphs
Combining functions; shifting and scaling graphs
Trigonometric functions
Exponential functions
Inverse functions and logarithms
Limits and Continuity (Sections 2.1-2,4-7): 5 hours
Rates of change and tangents to curves
Limit of a function and limit laws
One-Sided limits and limits at infinity
Infinite limits and vertical asymptotes
Continuity
Tangents and Derivatives at a point
Differentiation (Sections 3.1-10): 8 hours
The derivative as a function
Differentiation rules for polynomials, exponentials, products, and quotients
The Derivative as a rate of change
Derivatives of trigonometric functions
The chain rule and parametrix equations
Implicit differentiation
Derivatives of inverse functions and logarithms
Inverse trigonometric functions
Related rates
Linearization and differentials
Applications of Derivatives (Section 4.1-6): 5 hours
Extreme values of functions
Monotonic functions and the first derivative test
Concavity and curve sketching
Applied optimization
Indeterminate forms and l'hopital's rule
Integration (Section 5.1-6): 6 hours
Estimating with finite sums
Sigma notation and limits of finite sums
The definite integral
The fundamental theorem of calculus
Indefinite Integrals and the substitution rule
Substitution and area between curves
Techniques of integration (Section 7.1-4,7): 5 hours
Integration by parts
Trigonometric integrals
Trigonometric substitutions
Integration of rational functions by partial fractions
Improper integrals
Infinite sequences and series (Section 8.1-2,7-8): 6 hours
Sequences
Infinite series
Power series
Taylor and Maclaurin series
Polar coordinates and conics (Section 9.1-2): 1 hour
Polar coordinates
Graphing in polar coordinates
MATH021 Concise Calculus