Department of Mathematics
Johns Hopkins University
110.106 Calculus I (Bio. & Soc. Sci.)
Course Syllabus
The following list of topics is considered the core content for the course 110.106 Calculus I
(Biology and Social Sciences). The current text for the course is:
Text: Calculus for Biology and Medicine, 3rd Edition, Claudia Neuhauser,
ISBN: 978-0-321-64468-8
Course Topics
• Preview and Review (1- weeks)
o 1.1 Preliminaries
o 1.2 Elementary Functions
o 1.3 Graphing
• Discrete Time Functions and Sequences (1 week)
o 2.1 Exponential Growth and Decay
o 2.2 Sequences
o 2.3 Population Models
• Limits and Continuity (2- weeks)
o 3.1 Limits (with a brief discussion of the formal definitions from 3.6)
o 3.2 Continuity
o 3.3 Limits at Infinity
o 3.4 The Sandwich Theorem
o 3.5 Properties of Continuous Functions
• Differentiation (3- weeks)
o 4.1 Formal Definition of the Derivative
o 4.2 The Power Rule and Derivatives of Polynomials
o 4.3 The Product and Quotient Rules
o 4.4 The Chain Rule and Higher Derivatives
o 4.5 Derivatives of Trigonometric Functions
o 4.6 Derivatives of Exponential Functions
o 4.7 Derivatives of Inverse and Logarithmic Functions
o 4.8 Approximation and Local Linearity (no error analysis)
• Applications of Differentiation (2 weeks)
o 5.1 Extrema and the Mean Value Theorem
o 5.2 Monotonicity and Concavity
o 5.3 Inflection Points and Graphing
o 5.4 Optimization
o 5.5 L’Hospital’s Rule
o 5.8 Antiderivatives
• Integration (2 weeks)
o 6.1 The Definite Integral
o 6.2 The Fundamental Theorem of Calculus
o 6.3 Applications of Integration
• Integration Techniques (2- weeks)
o 7.1 The Substitution Rule
o 7.2 Integration by Parts
o 7.3 Partial Fractions Decomposition
