# Calculus for Life Sciences( MATH 1750 )

## MTRF 3:00 - 3:50 at SM 2050

Instructor:   Dr. Seongchun (Michelle) Kwon
e-mail:   kwonseon at hotmail dot com
Office:   University Hall 2030C
Office hours:   4:00 - 5:00 on M, 1:00 - 3:00 on T or TR or by appointment

Text:    Calculus for Biology and Medicine, Second Edition, by Claudia Neuhauser, and Schaum's Outlines Trigonometry, Third Edition, by Moyer and Ayres

Materials covered:    Foundations of Trigonometry, Graphing Trig Functions, Trigonometric Identities, Trigonometric Equations, Exponential Models, Limits, Limits of Trig Functions, Continuity, Definition of Derivative, Rules of Differentiation, More Methods and Derivatives of Trig Functions, Derivatives Exponential Functions and Inverse Functions, Approximations, Extrema, Monotonicity, Convexity, Curve Sketching, Optimization, L'Hospital's Rule

Final Exam:   2:45 - 4:45 December 15, Tuesday

• Syllabus
• Suggested Problems

## Progress, Problems and Solutions

 Date Progress Problems,Solutions Aug 24(M) Introduction Aug 25(T) 1.1. Preliminaries Aug 27(Th) 1.1. Preliminaries Aug 28(F) 1.2. Elementary Functions Group Quiz Aug 31(M) Chap 1. Angles and Applications Sep 1(T) Chap 1. Angles and Applications, Chap 2. Trigonometric Functions of a General Angle Sep 3(Th) Chap 2. Trigonometric Functions of a General Angle( sec. 2.8., sec. 2.9.), Chap 3. Trigonometric Functions of an Acute Angle Sep 4(F) Quiz Group Quiz, Closedbook Quiz Sep 8(T) Chap 6. Reduction to Functions of Positive Acute Angles Sep 10(Th) Chap 7. Variations and Graphs of the Trigonometric Functions Sep 11(F) Quiz Group Quiz, Closedbook Quiz Sep 14(M) Chap 8. Basic Relationships and Identities Sep 15(T) Chap 9. Trigonometric Functions of Two Angles Sep 17(Th) Chap 14. Trigonometric Equations Sep 18(F) Quiz Group Quiz, Closedbook Quiz Sep 21(M) 3.1. Limits Sep 22(W) 3.1. Limits Sep 24(Th) 3.2. Continuity Sep 25(F) Quiz(For this week's closedbook quiz, please review the last week's closedbook quiz and group quiz together. The main part of the closedbook quiz will include 3.1. and 3.2. ) Group Quiz, Closedbook Quiz Sep 28(M) Review for the exam Sep 29(T) Review for the exam Oct 1(Th) Exam 1 (All materials covered until Sep 18(F)) Solution(Hyejin Lee) Oct 8(Th) 3.2. Continuity Oct 9(F) 3.2. Continuity Group Quiz Oct 12(M) 3.2. Continuity Oct 13(T) 3.2. Continuity, 3.3.Limits at Infinity Mini-Make-Up Exam Oct 15(Th) 3.3.Limits at Infinity, 3.4. Sandwich Theorem and some trigonometric Limits Oct 16(F) Quiz Group Quiz Oct 19(M) 3.4. Sandwich Theorem and some trigonometric Limits Closedbook Quiz Oct 20(T) 4.1. Formal Definition of the Derivative Oct 22(Th) 4.1. Formal Definition of the Derivative, 4.2. The Power Rule, the Basic Rules of Differentiation, and the Derivatives of Polynomials Oct 23(F) Quiz Group Quiz, Closedbook Quiz Oct 26(M) 4.2. The Power Rule, the Basic Rules of Differentiation, and the Derivatives of Polynomials Oct 28(T) 4.3. Product and Quotient rules, and the derivatives of rational and power functions Oct 29(Th) 4.4. The Chain rule and Higher Derivatives Oct 30(F) Quiz Group Quiz Nov 2(M) 4.4. The Chain rule and Higher Derivatives Closedbook Quiz Nov 3(T) 4.4. The Chain rule and Higher Derivatives Nov 5(Th) 4.5. Derivatives of Trigonometric Functions Nov 6(F) Quiz Group Quiz, Closedbook Quiz Nov 9(M) 4.6. Derivatives of Trigonometric Functions Nov10(T) 4.7. Derivatives of Inverse and Logarithmic Functions Nov 12(Th) 4.7. Derivatives of Inverse and Logarithmic Functions Nov 13(F) Quiz Group Quiz, Closedbook Quiz Nov 16(M) 4.8. Approximations and Local Linearity Nov 17(T) 5.1. Extrema and the Mean Value Theorem Nov 19(Th) Review for the exam Nov 20(F) Quiz Group Quiz, Closedbook Quiz Nov 23(M) Exam 2( Chapter 3 and Chapter 4) Solution, Students who got 100: Hye-Jin Lee Nov 30(M) 5.1. Extrema and the Mean Value Theorem Dec 1(T) 5.2. Monotonicity and Concavity, 5.3. Extrema, Inflection points, and Graphing Dec 3(Th) 5.2. Monotonicity and Concavity, 5.3. Extrema, Inflection points, and Graphing Dec 4(F) Quizzes Mini-Make-Up Exam , Group Quiz, Closedbook Quiz Dec 7(M) Group Mini-Make-Up Exam Group Mini-Make-Up Exam Dec 8(T) 5.5. L'Hospital's Rule Dec 10(Th) Review for the Final Dec 11(F) Quiz Group Quiz Dec 15(T) Final Exam 2:45 - 4:45 Final Exam