Verified Documents at University of British Columbia

Browse the full collection of course materials, past exams, study guides and class notes for MATH 102 - Differential Calculus with Applications to Life Sciences at University of …
PROFESSORS
All Professors
All semesters
Elyse Yeager
fall
36
Colin MacDonald
fall
4
Andreas Buttenschoen
fall
3

Verified Documents for Elyse Yeager

Class Notes

Taken by our most diligent verified note takers in class covering the entire semester.
MATH 102 Lecture 1: Math 102 Notes: Lecture 1 & 2
6139
MATH 102 Lecture 2: Math 102 Notes: Lecture 2-Calculus
370
MATH 102 Lecture 3: Maths 102 notes Lecture 3: Approximations on rational functions
265
MATH 102 Lecture 4: Maths 102 notes lecture 4: Rate of change & Derivative
383
MATH 102 Lecture 5: Maths 102 note: Derivatives and continuity
344
MATH 102 Lecture 6: Maths 102 Notes Lecture 6: Continuous functions and the Definition of Derivative
351
MATH 102 Lecture 7: Power rule & Tangent line
336
MATH 102 Lecture 8: Antiderivatives, Product rule & Quotient Rule, Chain Rule
324
MATH 102 Lecture Notes - Lecture 9: Chain Rule, Antiderivative, University Of Manchester
364
MATH 102 Lecture 10: Sketching Antiderivatives recap, Approximation using tangent lines
Use of tangent lines: to approximate a function using a xed point > assume that the tangent line on the. Step 1: choose a nice value that you know,
466
MATH 102 Lecture 11: Linear Approximation overestimation or underestimation, Newton’s Method
Lecture 11 - linear approximation overestimation or underestimation, newton"s method. , using linear approximation to determine f(8. 75), and if the re
3399
MATH 102 Lecture Notes - Lecture 12: Aphid, Asymptote, Ant Colony
= xk f (xk ) f "(xk : it is used for a more accurate approximation. Application 1: ladybugs and aphids" populations: size of aphid"s population = x, la
437
MATH 102 Lecture Notes - Lecture 13: Mnemonic, Linear Approximation, Asymptote
Example 1: sketch ! f (x) = x3 3x 2. X 0 f (x) x3. Therefore, (2, -4) is a minimum point, (0,0), (3,0) is x-intercepts. Step 3: assemble information an
521
MATH 102 Lecture Notes - Lecture 14: Cell Division, Maxima And Minima
Example 1: identify the extrema from the following graphs (yeager, ch. 6 slide 17) A: local minimum at x = 0 (because sign changes from (-) to (+) ) B:
430
MATH 102 Lecture 15: Sketching graph using calculus
Example 1: sketch the graph of the following functions showing important features such as critical points, roots, discontinuities, asymptotes. f (x) =
329
MATH 102 Lecture Notes - Lecture 16: Logistic Function, Pythagorean Theorem
Example 1: logistic growth rate: small populations % large populations grow slowly, equation: # K: n: density of the population, g: growth rate, r, k -
227
MATH 102 Lecture 17: Optimization and critical points
118
MATH 102 Lecture Notes - Lecture 18: Situation Two
Lecture 18 - optimal foraging: the energy gained from t minutes at a patch is given by: , where e and k are positive constants. Over time, they tired,
323
MATH 102 Lecture 19: Least square and optimization
326
MATH 102 Lecture 20: Optimization
227
MATH 102 Lecture 21: Related rates
531
MATH 102 Lecture 22: Related rates, Implicit Differentiation
163
MATH 102 Lecture 23: Exponential function and related rates examples
426
MATH 102 Lecture 24: Invertibility, exponential functions and properties
329
MATH 102 Lecture 25: Application and differentiation of log, Differential equation, Quantity of radioactive isotope,
333
MATH 102 Lecture 26: Logistic growth equation and examples
239
MATH 102 Lecture 27: Slope field & state-space diagram
1445
MATH 102 Lecture 28: First order differential equation
339
MATH 102 Lecture 29: Newton's cooling method and euler's method
330
MATH 102 Lecture 31: Euler's method & Disease dynamics
268
MATH 102 Lecture 32: Basic Trigonometry review
244
MATH 102 Lecture 33: Arcsine, Arccosine, Arctangent
254
MATH 102 Lecture 34: Derivatives of Trig functions
442
MATH 102 Lecture 35: Trig with Related rates
354
MATH 102 Lecture 36: Prey response in related rates
348
MATH 102 Lecture 37: 2010 Final exam review lecture
399