# Calculus for Life Sciences( MATH 1750 )

## TR 4:00-5:40, BO 1053

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 18, Friday

• Syllabus
• Suggested Problems

## Progress, Problems and Solutions

 Date Progress Problems,Solutions Aug 25(T) Introduction, 1.1.Preliminaries Aug 27(Th) 1.1.Preliminaries, 1.2. Elementary Functions Group Quiz Sep 1(T) Chap 1.Angles and Applications, 2.1. Coordinates on a Line Sep 3(Th) Chap 2.Trigonometric Functions of a General Angle(From sec. 2.2.), Chap 3. Trigonometric Functions of an Acute Angle; Quiz Group Quiz, Closedbook Quiz Sep 8(T) Chap 6. Reduction to Functions of Positive Acute Angles, Chap 7. Variations and Graphs of the Trigonometric Functions Group Quiz Sep 10(Th) Chap 7. Variations and Graphs of the Trigonometric Functions Group Quiz, Closedbook Quiz Sep 15(T) Chap 8. Basic Relationships and Identities Sep 17(Th) Chap 9. Trigonometric Functions of Two Angles, Chap 14. Trigonometric Equations; Quiz Group Quiz, Closedbook Quiz Sep 22(T) 3.1.Limits Sep 24(Th) 3.1. Limits, 3.2. Continuity, Quiz Group Quiz, Closedbook Quiz(For this closedbook quiz, please review the last week(Sep 17)'s group quiz and closedbook quiz. But the main part of the closedbook quiz will be from Tuesday's lecture. ): Group Quiz, Closedbook Quiz Sep 29(T) Review for the Exam Oct 1(Th) Exam 1 Solution ( Students who got 100 points: Azzouz, Angela M.; Azzouz, Laura L. ; Braun, Larissa R.; Crnobrnja, Adam D.; Haddad, Tiffany M.; Hays, Laura L.; Jeong, Yong Jae ) Oct 8(Th) 3.2. Continuity Group Quiz 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. The Sandwich Theorem and Some Trigonometric Limits Group Quiz Oct 20(T) 3.4. The Sandwich Theorem and Some Trigonometric Limits, 4.1. Formal Definition of the Derivative Closedbook Quiz 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 Group Quiz, Closedbook Quiz Oct 27(T) 4.2. The Power Rule, the Basic Rules of Differentiation, and the Derivatives of Polynomials, 4.3. Product and Quotient rules, and the derivatives of rational and power functions Oct 29(Th) 4.3. Product and Quotient rules, and the derivatives of rational and power functions, 4.4. The Chain rule and the Higher derivatives; Quiz Group Quiz Nov 3(T) 4.4. The Chain rule and the Higher derivatives, Quiz Closedbook Quiz Nov 5(Th) 4.5. Derivatives of Trigonometric Functions Group Quiz, Closedbook Quiz Nov 10(T) 4.6. Derivatives of Exponential Functions, 4.7. Derivatives of Inverse and Logarithmic Functions Nov 12(Th) 4.7. Derivatives of Inverse and Logarithmic Functions, Quiz Group Quiz, Closedbook Quiz Nov 17(T) 4.8. Approximations and Local Linearity, 5.1. Extrema and the Mean Value Theorem Nov 19(Th) Review for the exam, Quiz Group Quiz, Closedbook Quiz Nov 24(T) Exam 2(Chapter 3 and Chapter 4) Solution, Students who got 100 points: Yong-Jae Jeong, Ji-Won Lee, Amit I. Patel, Harsh K.Patel Dec 1(T) 5.1. Extrema and the Mean Value Theorem, 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, Quizzes Mini-Make-Up Exam , Group Quiz Dec 8(T) 5.5. L'Hospital's Rule Group Mini-Make-Up Exam , Closedbook Quiz Dec 10(Th) 5.5. L'Hospital's Rule, Review for the final, Quiz Group Quiz Dec 18(F) Final Exam 2:45 - 4:45 Final Exam