MATH 021: Concise Calculus

Course Description:  [Previous Course Code: MATH 001]

This course teaches fundamental concepts in calculus and provides mathematical preparation for students who are going to take further courses in mathematics.  Key topics include: logic and sets, functions, limits and continuity, differentiation and graphing, integration; improper integrals, sequence and series, power and Taylor series.

Exclusions: Grade D or above in either AL Pure Mathematics or AL Applied Mathematics, MATH 006, MATH 013, MATH 014, MATH 022, MATH 023, MATH 024, any MATH course with course code at or above 100.

Prerequisite: HKCEE Additional Mathematics, or AS Mathematics and Statistics, or AS Applied Mathematics, or grade E in AL Applied Mathematics or AL Pure Mathematics, or MATH005.

 Course Material:   Textbook:  Calculus of One Variable, by Keith E. Hirst, published by Springer, 2006.

Grading:   The grades of the course are based on the following numerical grades: (i) 7 Sets of Homework (35%); (ii) Midterm  (25%); (iii) Final (40%).

Homeworks:

Chapter 1: 1.1(d)(g)(h)(k), 1.2, 1.7, 1.9, 1.12(a)(c)(e), 1.14((e)(f), 1.16, 1.17, 1.20, 1.22, 1.23, 1.24(a)(c)(e)(g), 1.27, 1.28 (due 13Feb09).

Chapter 2: 2.3(a)(c)(e), 2.4(a)(c)(e)(g)(i), 2.5(a)(c)(e), 2.8(a)(c)(e)(g)(i)(k)(m)(o), 2.9(a)(c)(e) (due 27Feb09).

Chapter 3: 3.1(a), 3..2(a)(d)(g)(j), 3.3(a)(d)(g)(j), 3.4(a)(c)(e)(g)(i)(k), 3.5 (due 06March09).

Chapter 4: 4.1(a)(c)(e)(g)(i), 4.2, 4.3, 4.4, 4.6(a)(c)(e)(g)(i) , 4.8, 4.10(a), 4.11, 4.12(a) (due 13March09).

Chapter 5: 5.1, 5.2, 5.3(a)(c)(e)(g)(i), 5.4(a)(c)(e)(g)(i) , 5.5, 5.7, 5.8, 5.10  (due 27March09).

Midterm: time and venue 30March09, in class, coverage Chapters 1-5.

Chapter 6: 6.1, 6.3, 6.5(a)(c)(e)(g)(i)(k), 6.6(a)(c)(e)(g)(i), 6.7 (due 24April09).

Chapter 7: 7.1(a)(c)(e), 7.2(a)(c)(e)(g)(i)(k)(m), 7.3(a)(c), 7.5(a)(c),7.6(a)(c), 7.7, 7.8(a)(c),7.9, 7.11 (due 8May09).