Course Syllabus with detailed course information
We have 25 classes in total.
Textbook: Calculus for Scientists and Engineers (Early Transcendentals)
by Briggs, Cochran and Gillett
Textbook chapters to be covered: Chapters 1, 2, 3, 4, and 5.
Power Point Slides of the Textbook:
PPT for Chapter 1 Functions
PPT for Chapter 2 Limits
PPT for Chapter 3 Derivatives
PPT for Chapter 4 Applications of the derivatives
PPT for Chapter 5 Integration
Midterm Exam (for all sections):
Oct 28, 2012 (Sunday) morning (time and venue to be announced)
Final Exam:
Grading policy: Homework and quizzes (15%), midterm (30%) and final exam (55%) are to be used to determine the grade.
More details can be found in the course syllabus.
Solutions for Midterm Exam (white-green version)
Teaching Schedule (subject to slight change):
Week 01:
1.1 Review of functions,
1.2 Representing functions,
1.3 Inverse, exponential and logarithmic functions
Week 02:
1.4 Trigonometric functions and their inverses,
2.1 The idea of limits,
2.2 Definitions of limits
Week 03:
2.3 Techniques for computing limits,
2.4 Infinite limits,
2.5 Limits at infinity, 2.6 Continuity
Week 04:
3.1 Introducing the derivatives,
3.2 Rules of differentiation
Week 05:
3.2 Rules of differentiation,
3.3 The product and quotient rules,
3.4 Derivatives of trigonometric functions,
3.5 Derivatives as rates of change,
3.6 The chain rule
Week 06:
3.7 Implicit differentiation,
3.8 Derivatives of logarithmic and exponential functions,
3.9 Derivatives of inverse trigonometric functions
Week 07:
3.10 Related rates,
4.1 Maxima and minima
Week 08:
4.2 What derivatives tell us,
4.3 Graphing functions,
4.4 Optimization problems
Week 09:
4.5 Linear approximation and differentials,
4.6 Mean value theorem,
4.7 L'Hopital's rule
Week 10:
4.8 Newton's method (*),
4.9 Antiderivatives
Week 11:
5.1 Approximating areas under curves,
5.2 Definite integrals
Week 12:
5.3 Fundamental theorem of calculus,
5.4 Working with integrals
Week 13:
5.5 Substitution rule,
Review (if there is time available)
WeBWorK for students to find, do and submit Homework Assignments and Quizzes
You can login to
WeBWorK @ HKUST
using your HKUST ITSC Network Account.
Upon sign in, you will see your WeBWorK homework assignments.
Lecture notes in pdf (to be updated from time to time)
Lecture notes for 1.1
Lecture notes for 1.2
Lecture notes for 1.3
Lecture notes for 1.4
Lecture notes for 2.1
Lecture notes for 2.2
Lecture notes for 2.3
Lecture notes for 2.4
Lecture notes for 2.5
Lecture notes for 2.6
Lecture notes for 3.1
Lecture notes for 3.2
Lecture notes for 3.3
Lecture notes for 3.4
Lecture notes for 3.5
Lecture notes for 3.6
Lecture notes for 3.7
Lecture notes for 3.8
Lecture notes for 3.9
Lecture notes for 3.10
Lecture notes for 4.1
Lecture notes for 4.2
Lecture notes for 4.3
Lecture notes for 4.4
Lecture notes for 4.5
Lecture notes for 4.6
Lecture notes for 4.7
Lecture notes for 4.8
Lecture notes for 4.9
Lecture notes for 5.1
Lecture notes for 5.2
Lecture notes for 5.3
Lecture notes for 5.4
Lecture notes for 5.5
Math1013 Additional Practice Problems From Textbook