Math1013 Calculus I
Course Outline –Fall 2016
L8: WF 13:30—14:50, LSKG012
L9: TT 13:30—14:50, LSKG012
Instructor
Dr. Ye, Guibo
Email:magbye@ust.hk
Office:Rm 3491
Phone:23582081
Office Hours: by appointment, or Math Support Center hours: TBA
TA and Tutorials
T8A: Wed 15:30—16:20
Rm2463
Tsz Chung
T8B: Wed 09:30—10:20
Rm3596
Tsz Chung
T8C: Tue
18:00—18:50
Rm1511
Tsz Chung
T8D: Tue
15:00—15:50
Rm1511
Tsz Chung
T9A: Wed 09:30—10:20
Rm4503
Li, Xilin
T9B: Tue
12:00—12:50
Rm5583
Li, Xilin
T9C: Mon 15:00—15:50
Rm5583
Li, Xilin
T9D: Mon 17:00—17:50
Rm5583
Li,Xilin
Course Description
This is an introductory course in one-variable calculus. Topics include functions and graphs,
limits of functions and continuity, derivatives and their applications, basic indefinite and
definite integrals.
Duration: One semester
Credits: 3 units
Exclusion: AL Pure Mathematics; AL Applied Mathematics;
MATH 1003, MATH 1018, MATH 1020, MATH 1023, MATH 1024; any
MATH course at or above 100-/2000- level
Intended Learning Outcomes
On successful completion of this course, students are expected to be able to:
• Express quantitative relationships using the language of functions.
• Develop basic computational skills in calculus.
• Apply the concepts and methods of calculus in modeling and problem solving.
Assessment Scheme
Assessment
Assessing Course ILOs
Homework 15%
1,2,3
Midterm Exam 35%
1,2,3
Final Exam 50%
1,2,3
Grade Scale
100% ≥ A+/A/A- ≥ 85%, > B+/B/B- ≥ 70%, > C+/C/C- ≥ 50% > D ≥ 40% > F
•
Homework sets will be delivered and submitted online via the WeBWorK system.
Students are allowed to submit and check answers through the WeBWorK system as
many times as preferred before the due time.
•
•
Students should visit the following WeBWorK@UST page to get familiar with the
system as early as possible: https://webwork.math.ust.hk
The midterm examination is scheduled on Oct 23. (Sunday morning, time and venue
to be announced.)
Learning Resources
• Textbook: J. Stewart. Calculus Early Transcendentals, 7th edition. Brooks/Cole.
Teaching and Learning Activities
• Lectures and Tutorials.
• Students may visit the Math Support Center at Room 3011-3013 for help. The
opening hours of the Math Support Center can be found at:
http:/www.math.ust.hk/∼support
Tentative Course Schedule
Week one: Thursday (Sep 1)
• Numbers, inequalities and absolute values (Appendix A)
• Coordinate Geometry and Lines
• Basic functions and graphs, composite functions (1.1, 1.2, 1.3)
• Exponential functions (1.5)
Week two: Monday (Sep 12) (Holidays: Sep 16)
• Trigonometric functions (Appendix D)
• Inverse functions, logarithmic functions and inverse trigonometric functions (1.6,
Appendix D)
Week three: Monday (Sep 19)
• Tangent and velocity (2.1)
• The limit of a function, limit laws (2.2, 2.3)
Week four: Monday (Sep 26)
• Continuity (2.5)
• Limits at infinity and horizontal asymptotes (2.6)
• Derivatives and rates of change (2.7)
Week five: Monday (Oct 3)
• Basic derivatives (2.8, 3.1)
• Product and quotient rules (3.2)
• Derivatives of trigonometic functions (3.3)
• Chain rule (3.4)
Week six: Monday (Oct 10) (Holidays Oct 10)
• Implicit differentiation, derivatives of inverse trigonometric functions and
logarithmic functions (3.5, 3.6)
Week seven: Monday (Oct 17)
• Rates of change problems (3.7, 3.8)
• Related Rates. (3.9)
Midterm Exam: 10:15-11:45, Oct 23 (Sunday)
Week eight: Monday (Oct 24)
• Linear approximations and differentials (3.10)
• Newton's method (4.8)
• Maximum and minimum values (4.1)
Week nine: Monday (Oct 31)
• Mean Value Theorem (4.2)
• Derivatives and the shape of a graph (4.3)
• L'Hopital's rule (4.4)
Week ten: Monday (Nov 7)
• Curve sketching (4.5, 4.6)
• Optimization problems (4.7)
Week eleven: Monday (Nov 14)
• Anti-derivatives (4.9)
• Areas and distances (5.1)
• Definite integrals (5.2)
Week twelve: Monday (Nov 21)
• The Fundamental Theorem of Calculus (5.3)
• Indefinite integrals and net change (5.4)
Week thirteen: Monday (Nov 28)
• Substitution rule (5.5)
Study Break: Dec 1-6