Arturo Rios
HUP 104
11:45 to 12:45
Review
What are values?
Values are anything that is important for us. The things that we do to be seen properly
correct in front of the society.
What makes a family of moral values?
All the rules ethics and moral values
Math 1215 - Life Sciences Calculus
Section 7.1 - November 18
Practice Problems: p. 524, # 1-8, 23-26, 30-33, 38-41.
Section 7.1. Basic Models with Dierential Equations.
Denition 7.11 A general population growth model P (t) (where P represents population
a
Math 1215 - Life Sciences Calculus
Section 6.4 - November 8
Practice Problems: p. 467, # 5-19, 28, 29, 35-40, 58-63.
Section 6.4. Denite and Indenite Integrals.
Question 6.41 Identify the following in the notation for a denite integral:
b
f (x) dx
a
integ
Math 1215 - Life Sciences Calculus
Section 4.7 - October 30
Practice Problems: p. 303, # 8-19, 24-33.
Section 4.7. Approximating functions with Polynomials.
Question 4.71 Draw the function f (x) = 3(x/2) , and two dierent straight lines:
a. its tangent li
Math 1215 - Life Sciences Calculus
Section 6.2 - November 7
Practice Problems: p. 429, # 7-20, 28-29, 38, 39, 40.
Section 6.2. Antiderivatives.
Denition 6.21 An antiderivative of a function f (x) on a certain domain is a function F (x)
such that F (x) = f
Math 1215 - Life Sciences Calculus
Section 6.3 - November 6
Practice Problems: p. 452, # 40-51.
Section 6.3. Denite Integral and Area.
Question 6.31 What is the area under a curve? How would you use rectangles to estimate
the area of a region underneath a
Math 1215 - Life Sciences Calculus
Section 6.1 - November 1
Practice Problems: p. 416, # 1-3, 9-13, 16-19, 28, 29, 32-35, 38-45.
Section 6.1. Dierential Equations.
Denition 6.11 A dierential equation is an equation involving a function and its derivatives
Math 1215 - Life Sciences Calculus
Section 5.1 - October 21
Practice Problems: p. 325, # 6-11, 22-27, 34-39, 47, 48, 63-66.
Section 5.1. Extreme Values of a Function (contd).
Theorem 5.11 (Fermats Theorem) If f (x) has a local extremum at x = c, then eith
Math 1215 - Life Sciences Calculus
Section 4.6 - October 11
Practice Problems: p. 290, # 1-8, 11-18, 26-33, 36-39, 46.
Section 4.6. The Second Derivative, Curvature, Concavity, and Acceleration
Denition 4.61 The derivative of the derivative of f (x) is th
Math 1215 - Life Sciences Calculus
Section 5.6 - October 18
Practice Problems: p. 390, # p. 390, # 9-17, 19, 20, 27, 29, 30.
Section 5.6. The Logistic Dynamical System and More Complex Dynamics.
Question 5.61 What happens in a cobwebbing diagram where the
Math 1215 - Life Sciences Calculus
Section 6.5 - November 13
Practice Problems: p. 485, # 15-22, 36-38, 45, 50, 56, 57, 59 a, b & c.
Section 6.5. Techniques of Integration: Substitution and Integration by Parts.
Theorem 6.51 (u-Substitution (Change of Var
Math 1215 - Life Sciences Calculus
Section 5.5 - October 16
Practice Problems: p. 377, # 29-32, 37 a & b, 38 a & b.
Section 5.5. Stability of Discrete-time Dynamical Systems.
Question 5.51 Try testing the stability of cobwebbing diagrams where the updatin
Math 1215 - Life Sciences Calculus
Section 4.4 - October 4
Practice Problems: p. 268, # 6-11, 16-20, 28-30, 35, 39-42, 58-61.
Section 4.4. The Chain Rule.
Theorem 4.41 (Chain Rule) If g is dierentiable at x and f is dierentiable at g(x), then
(f (g(x) = f