4 credits
Blue Book Description: Calculus is an important building block in the education of any professional who uses quantitative analysis. This course introduces and develops the mathematical skills required for analyzing change and creating mathematical models that replicate real-life phenomena. The goals of our calculus courses include to develop the students’ knowledge of calculus techniques and to use the calculus environment to develop critical thinking and problem solving skills. The concept of limit is central to calculus; this concept is studied early in the course. Differential calculus topics include derivatives and their applications to rates of change, related rates, linearization, optimization, and graphing techniques. The Fundamental Theorem of Calculus, relating differential and integral calculus begins the study of Integral Calculus. Antidifferentiation and the technique of substitution is used in integration applications of finding areas of plane figures and volumes of solids of revolution. Trigonometric functions are included in every topic. Students may only take one course for credit from MATH 110, 140, 140A, 140B, and 140H.
Pre-requisites: Math 22 and Math 26 or Math 26 and satisfactory performance on the mathematics placement examination or Math 40 or Math 41 or satisfactory performance on the mathematics placement examination.
Bachelor of Arts: Quantification
General Education: Quantification (GQ)
GenEd Learning Objective: Crit and Analytical Think
GenEd Learning Objective: Key Literacies
Who MATH 140B is appropriate for:
Suitable for students pursuing one of the following majors: Biology, Biotechnology, Pre- Medicine, Microbiology, Biochemistry and Molecular Biology (but not the Biochemistry option), Veterinary and Biomedical Sciences, and Forensic Science (but not the Forensic Chemistry option).
Generally, MATH 140B (and its follow-up course MATH 141B) are not suitable for students pursuing majors for which MATH 141 is not a terminal mathematics course, i.e., students pursuing any major requiring MATH 220, MATH 230 or 231, or MATH 250 or 251 should not take MATH 140B (and MATH 141B) but MATH 140 (followed by MATH 141) instead.
Suggested Textbook:
Claudia Neuhauser and Marcus L. Roper
Calculus for Biology and Medicine, 4th Edition
Pearson, 2018
Your instructor may utilize Pearson’s MyLab Math platform for online homework problems, in which case it is recommended to purchase electronic access to the eBook bundled with MyLab Math. Check with your instructor to make sure this is the textbook used for your section and for additional purchasing information. Your instructor may choose to supplement this textbook with an open source Calculus textbook such as
OpenStax
Calculus Volume 1
Rice University, 2020
Web Page: https://openstax.org/details/books/calculus-volume-1
Topics (from Neuhauser/Roper):
1. Preview and Review
1.3 Elementary Functions
1.4 Graphing
3. Limits and Continuity
3.1 Limits
3.2 Continuity
3.3 Limits at Infinity
3.4 Trigonometric Limits and the Sandwich Theorem
3.5 Properties of Continuous Functions
4. Differentiation
4.1 Formal Definition of the Derivative
4.2 Properties of the Derivative
4.3 The Power Rule, the Basic Rules of Differentiation, and the Derivatives of Polynomials
4.4 The Product and Quotient Rules, and the Derivatives of Rational and Power Functions
4.5 The Chain Rule
4.6 Implicit Functions and Implicit Differentiation
4.7 Higher Derivatives
4.8 Derivatives of Trigonometric Functions
4.9 Derivatives of Exponential Functions
4.10 Derivatives of Inverse Functions, Logarithmic Functions, and the Inverse Tangent Function
4.11 Linear Approximation and Error Propagation
5. Applications of Differentiation
5.1 Extrema and the Mean-Value Theorem
5.2 Monotonicity and Concavity
5.3 Extrema and Inflection Points
5.4 Optimization
5.5 L’Hospital’s Rule
5.6 Graphing and Asymptotes
5.10 Antiderivatives
6. Integration
6.1 The Definite Integral
6.2 The Fundamental Theorem of Calculus
6.3 Applications of Integration
7. Integration Techniques and Computational Methods
7.1 The Substitution Rule