Calculus for the Life Sciences: Modelling the Dynamics of Life (Canadian edition) 2nd edition

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Frederick R. Adler and Miroslav Lovric
Publisher: Nelson Education, Ltd.

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  • Chapter 1: Introduction to Models and Functions
    • 1.1: Why Mathematics Matters
    • 1.2: Models in Life Sciences
    • 1.3: Variables, Parameters, and Functions (4)
    • 1.4: Working with Functions (6)
    • 1.5: Logical Reasoning and Language in Math and Life Sciences
    • 1: True/False Quiz
    • 1: Supplementary Problems
    • 1: Project

  • Chapter 2: Modelling Using Elementary Functions
    • 2.1: Elementary Models (5)
    • 2.2: Exponential and Logarithmic Functions; Exponential Models (5)
    • 2.3: Trigonometric and Inverse Trigonometric Functions (5)
    • 2: True/False Quiz
    • 2: Supplementary Problems

  • Chapter 3: Discrete-Time Dynamical Systems
    • 3.1: Introduction to Discrete-Time Dynamical Systems (4)
    • 3.2: Analysis of Discrete-Time Dynamical Systems (3)
    • 3.3: Modelling with Discrete-Time Dynamical Systems (6)
    • 3.4: Nonlinear Dynamics Model of Selection (7)
    • 3.5: A Model of Gas Exchange in the Lung (4)
    • 3: True/False Quiz
    • 3: Supplementary Problems
    • 3: Project

  • Chapter 4: Limits, Continuity, and Derivatives
    • 4.1: Investigating Change (4)
    • 4.2: Limit of a Function (5)
    • 4.3: Infinite Limits and Limits at Infinity (6)
    • 4.4: Continuity (5)
    • 4.5: Derivatives and Differentiability (5)
    • 4: True/False Quiz
    • 4: Supplementary Problems
    • 4: Project

  • Chapter 5: Working with Derivatives
    • 5.1: Derivatives of Powers, Polynomials, and Exponential Functions (4)
    • 5.2: Derivatives of Products and Quotients (4)
    • 5.3: The Chain Rule and the Derivatives of Logarithmic Functions (6)
    • 5.4: Derivatives of Trigonometric and Inverse Trigonometric Functions (4)
    • 5.5: Implicit Differentiation, Logarithmic Differentiation, and Related Rates (5)
    • 5.6: The Second Derivative, Curvature, and Concavity (4)
    • 5.7: Approximating Functions with Polynomials (4)
    • 5: True/False Quiz
    • 5: Supplementary Problems
    • 5: Project

  • Chapter 6: Applications of Derivatives
    • 6.1: Extreme Values of a Function (9)
    • 6.2: Three Case Studies in Optimization (2)
    • 6.3: Reasoning about Functions: Continuity and Differentiability (4)
    • 6.4: Leading Behaviour and L'Hôpital's Rule (8)
    • 6.5: Graphing Functions: A Summary (3)
    • 6.6: Newton's Method (4)
    • 6.7: Stability of Discrete-Time Dynamical Systems (5)
    • 6.8: The Logistic Dynamical System and More Complex Dynamics (4)
    • 6.9: Case Study: Painting and Deep Breathing (Online)
    • 6: True/False Quiz
    • 6: Supplementary Problems
    • 6: Projects

  • Chapter 7: Integrals and Applications
    • 7.1: Differential Equations (5)
    • 7.2: Antiderivatives (5)
    • 7.3: Definite Integral and Area (6)
    • 7.4: Definite and Indefinite Integrals (7)
    • 7.5: Techniques of Integration: Substitution and Integration by Parts (5)
    • 7.6: Applications (7)
    • 7.7: Improper Integrals (4)
    • 7: True/False Quiz
    • 7: Supplementary Problems
    • 7: Projects

  • Chapter 8: Differential Equations
    • 8.1: Basic Models with Differential Equations (5)
    • 8.2: Equilibria and Display of Autonomous Differential Equations (5)
    • 8.3: Stability of Equilibria (4)
    • 8.4: Separable Differential Equations (6)
    • 8.5: Systems of Differential Equations; Predator-Prey Model (4)
    • 8.6: The Phase Plane (3)
    • 8.7: Solutions in the Phase Plane (3)
    • 8.8: Dynamics of a Neuron (online)
    • 8: True/False Quiz
    • 8: Supplementary Problems
    • 8: Projects

  • Chapter FSV: Functions of Several Variables
    • FSV.1: Introduction (2)
    • FSV.2: Graph of a Function of Several Variables (3)
    • FSV.3: Limits and Continuity (2)
    • FSV.4: Partial Derivatives (3)
    • FSV.5: Tangent Plane, Linearization, and Differentiability (2)
    • FSV.6: The Chain Rule (2)
    • FSV.7: Second-Order Partial Derivatives and Applications (2)
    • FSV.8: Partial Differential Equations (1)
    • FSV.9: Directional Derivative and Gradient (3)
    • FSV.10: Extreme Values (2)
    • FSV.11: Optimization with Constraints (1)

  • Chapter PS: Probability and Statistics
    • PS.1: Introduction: Why Probability and Statistics
    • PS.2: Stochastic Models (2)
    • PS.3: Basics of Probability Theory (2)
    • PS.4: Conditional Probability and the Law of Total Probability (2)
    • PS.5: Independence (2)
    • PS.6: Discrete Random Variables (2)
    • PS.7: The Mean, the Median, and the Mode (2)
    • PS.8: The Spread of a Distribution (2)
    • PS.9: Joint Distributions (2)
    • PS.10: The Binomial Distribution (3)
    • PS.11: The Multinomial and the Geometric Distributions (2)
    • PS.12: The Poisson Distribution (2)
    • PS.13: Continuous Random Variables (2)
    • PS.14: The Normal Distribution (2)
    • PS.15: The Uniform and the Exponential Distributions (2)

  • Chapter LA: Linear Algebra
    • LA.1: Identifying Location in a Plane and in Space (2)
    • LA.2: Vectors (2)
    • LA.3: The Dot Product (2)
    • LA.4: Equations of Lines and Planes (2)
    • LA.5: Systems of Linear Equations (2)
    • LA.6: Gaussian Elimination (2)
    • LA.7: Linear Systems in Medical Imaging
    • LA.8: Matrices (2)
    • LA.9: Matrices and Linear Systems (2)
    • LA.10: Linear Transformations (2)
    • LA.11: Eigenvalues and Eigenvectors (3)
    • LA.12: The Leslie Model: Age-Structured Population Dynamics (2)

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Group Quantity Questions
Chapter FSV: Functions of Several Variables
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FSV.2 3 010 029 033
FSV.3 2 013 030
FSV.4 3 012 017 031
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FSV.6 2 019 031
FSV.7 2 009 031
FSV.8 1 017
FSV.9 3 010 020 038
FSV.10 2 014 029
FSV.11 1 011
Chapter LA: Linear Algebra
LA.1 2 021 038
LA.2 2 015 031
LA.3 2 011 022
LA.4 2 013 024
LA.5 2 014 032
LA.6 2 019 029
LA.8 2 018 027
LA.9 2 015 028
LA.10 2 008 024
LA.11 3 016 022 029
LA.12 2 004 012
Chapter PS: Probability and Statistics
PS.2 2 006 015
PS.3 2 024 031
PS.4 2 016 021
PS.5 2 012 018
PS.6 2 009 029
PS.7 2 018 026
PS.8 2 012 019
PS.9 2 009 020
PS.10 3 017 032 036
PS.11 2 009 022
PS.12 2 006 013
PS.13 2 020 031
PS.14 2 018 032
PS.15 2 004 014
Chapter 1: Introduction to Models and Functions
1.3 4 021 023 032 040
1.4 6 017 037 039 042 055 059
Chapter 2: Modelling Using Elementary Functions
2.1 5 016 036 043 045 054
2.2 5 016 024 040 059 068
2.3 5 019 045 055 067 070
Chapter 3: Discrete-Time Dynamical Systems
3.1 4 004 008 012 025
3.2 3 009 015 029
3.3 6 007 010 013 016 028 031
3.4 7 012 014 017 023 024 033 039
3.5 4 004 009 017 031
Chapter 4: Limits, Continuity, and Derivatives
4.1 4 010 013 016 019
4.2 5 006 012 034 045 051
4.3 6 011 014 036 046 051 056
4.4 5 016 032 039 041 050
4.5 5 009 024 028 041 046
Chapter 5: Working with Derivatives
5.1 4 007 012 032 039
5.2 4 021 034 039 042
5.3 6 014 023 034 044 046 063
5.4 4 011 017 027 053
5.5 5 003 010 018 029 033
5.6 4 014 023 031 039
5.7 4 006 012 016 033
Chapter 6: Applications of Derivatives
6.1 9 010 013 018 019 023 036 041 047 064
6.2 2 003 019
6.3 4 003 009 012 023
6.4 8 006 014 019 026 027 031 041 043
6.5 3 006 013 016
6.6 4 002 007 013 027
6.7 5 003 008 010 021 023
6.8 4 007 014 016 019
Chapter 7: Integrals and Applications
7.1 5 012 020 024 030 038
7.2 5 003 012 022 029 035
7.3 6 009 030 034 041 066 072
7.4 7 009 014 017 052 058 065 068
7.5 5 018 025 028 037 040
7.6 7 010 013 021 035 043 063 078
7.7 4 008 013 016 018
Chapter 8: Differential Equations
8.1 5 010 014 023 028 031
8.2 5 006 009 012 022 030
8.3 4 001 004 009 011
8.4 6 005 007 012 017 024 041
8.5 4 004 007 016 018
8.6 3 011 012 015
8.7 3 005 008 010
 Chapter 9
9 0  
 Chapter 10
10 0  
 Chapter 11
11 0  
Total 288