Math 1215 - Life Sciences Calculus
Section 4.5 - October 7
Practice Problems: p. 279, # 6-9, 20-23, 29, 31.
Section 4.5. Derivatives of Trigonometric and Inverse Trigonometric Functions.
Question 4.51 What kind of situations are trigonometric functions us
Math 1215 - Life Sciences Calculus
Sections 3.5 - September 25
Practice Problems: p. 226, # 8 b, c; 9 b, c; 29-34, 48-53, (for a challenge 62-65), 66-67
Section 3.5. Derivatives and Dierentiability.
Example 3.51 Find the derivative of f (x) = x2 2x at x =
Math 1215 - Life Sciences Calculus
Section 3.4 - September 20
Practice Problems: p. 216, # 30-45.
Section 3.4. Continuity.
Denition 3.41 A function f (x) is continuous at x = a if lim f (x) exists and
xa
lim f (x) = f (a).
xa
Question 3.41 What are the th
Math 1215 - Life Sciences Calculus
Section 4.3 - October 2
Practice Problems: p. 257, # 1-16, 26, 27.
Section 4.3. Derivatives of Exponential and Logarithmic functions.
Denition 4.31 The number e (base of the natural logarithm, Eulers constant) is the num
Math 1215 - Life Sciences Calculus
Section 4.1 - September 27
Practice Problems: p. 241, # 1-12, 21, 22, 27, 39, 40.
Section 4.1. Derivatives of Powers, Sums and Polynomials
Example 4.11 Find the derivative of f (x) = x4 , by using the limit denition of a
Math 1215 - Life Sciences Calculus
September 18 Notes
Practice Problems: p. 202, # 4-10, 18-20, 52-57, 64-67.
Section 3.3. Innite Limits and Limits at Innity.
1
Example 3.31 Describe the behaviour of the function f (x) = x2 as x gets closer and closer (bu
Math 1215 - Life Sciences Calculus
September 11 Notes
Practice Problems: p. 153, # 11-18, 23, 24.
Section 2.5. Nonlinear Dynamics Model of Selection.
Question 2.51 What is the dierence between linear dynamics and nonlinear dynamics?
Example 2.51 Solve for
Math 1215 - Life Sciences Calculus
September 16 Notes
Practice Problems: p. 179, # 4-13, 30-35, 41-45
Section 3.2. Limit of a Function.
Denition 3.21 If the value of a function f (x) can be made arbitrarily close to a number L by
choosing x suciently clos
Math 1215 - Life Sciences Calculus
Introduction - September 9
Practice Problems: p. 107, # 60, 61, 64, 65.
p. 120, # 7, 9, 13-18, 25, 27, 31-34.
Example 2.14 A whale population doubles every two years, but 20 whales are caught by hunters
after the reprodu
Math 1215 - Life Sciences Calculus
September 13 Notes
Practice Problems: p. 166, # 1-12, 23-26.
Section 3.1. Investigating Change.
Denition 3.11 The average rate of change of a function f (t) is
average rate of change =
change in function
f
=
change in va
Math 1215 - Life Sciences Calculus
Section 4.2 - September 30
Practice Problems: p. 249, # 1-6, 11-16, 36-39.
Section 4.2. Derivatives of Products and Quotients
Theorem 4.21 (Product Rule) For any dierentiable functions f and g,
(f (x) g(x) = f (x) g(x) +
Math 1215 - Life Sciences Calculus
Introduction - September 6
Practice Problems: p. 107, # 1-4, 15-18, 43.
Preview.
Introductions
Syllabus / Website
Goals and outline of the course
Chapter 2. Discrete-Time Dynamical Systems.
Section 2.1. Introduction t