# Study Guides for MATH 154 at Simon Fraser University (SFU)

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SFUMATH 154Yusuf TuncerFall

## MATH 154 Study Guide - Final Guide: Polynomial, Constant Function, Logistic Function

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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture Notes - Lecture 38: Inverse Trigonometric Functions, Visual Angle, Implicit Function

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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture 37: Trigonometry Derivatives

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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture Notes - Lecture 20: Crop Yield, Maxima And Minima, Logistic Function

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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture Notes - Lecture 36: Inverse Function

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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture Notes - Lecture 35: Radian, Unit Circle, Logistic Function

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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture Notes - Lecture 34: Slope Field

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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture 21: Optimization & Closed Interval Method

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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture 33: Euler's Method & Differential Equation Summary

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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture 32: solving differential equations

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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture Notes - Lecture 31: Exponential Decay, Doubling Time

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For this equation, the rate of change of y is proportional to itself. A differential equation is an equation where both sides are functions (functional
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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture Notes - Lecture 18: Maxima And Minima

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A function f(x) has a local minimum at a point if the value of f at that point is smaller than the value of f at all nearby points. A function f(x) has
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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture Notes - Lecture 5: Asymptote, Classification Of Discontinuities

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A limit is a value you hope to get (may not get that value); very important concept for calculus. A limit at a" exists if & only if both left-hand and
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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture 29: Differentiating Exponential Functions & Doubling

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Ex and ln(x) are the inverse of each other. For changing to base e, we use the formula (cid:3051)=(cid:1857)ln (cid:4666)(cid:4667)=(cid:1857)ln (cid:4
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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture Notes - Lecture 17: Differentiable Function

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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture 3: Domains, Zeroes, & Even/Odd Functions

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(cid:3117)(cid:3118) or is not a polynomial, because it does not have an integer exponent. For rational functions, numerator must equal 0 but denominat
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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture 24: Optimization & Related Rates

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If the function cos has derivative sin, find the derivative of cos(x3-2x) Problem: a colony of ants maintains a trail network to connect their nest to
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SFUMATH 154Yusuf TuncerFall

## MATH 154 Study Guide - Fall 2018, Comprehensive Midterm Notes - Exponentiation, Tangent, Rational Function

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The graphs of 2 functions intersect where the 2 functions are equal to each other. When we cancel x, we assume x 0, or treat x = 0 as a separate case.
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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture Notes - Lecture 27: Implicit Function, Maxima And Minima

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1 + 1 + 1 = 3 so the point is on the curve. Note: don"t forget the brackets or you"ll lose marks! With the curve (cid:1876)(cid:2870)+(cid:1876)(cid:18
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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture Notes - Lecture 26: Product Rule

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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture 25: Related rates problems

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If gravel is dumped at 30 ft3/min, that means =(cid:885)(cid:882) We want to know what is when h = 10. If h = r, then we can rearrange the equation so
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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture 16: Linear Approximation & Newton's Method

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With linear approximations, we are guessing based on values that we know. The linearization of a function at a point a is the function given by the tan
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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture Notes - Lecture 12: Asymptote, Antiderivative

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If there is a limit that is a real number, that is the horizontal asymptote. If a function has a derivative at a point x, it is continuous at x. Some f
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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture Notes - Lecture 1: Exponentiation, Rational Function, Polynomial

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Power function: a function of the form (cid:4666)(cid:1876)(cid:4667)=(cid:1876) where the coefficient (c) and the. 1 can be implied as a coefficient (
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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture 7: Lecture 6: Limits & Instantaneous Rates of Change/Derivatives

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A se(cid:272)a(cid:374)t li(cid:374)e is a li(cid:374)e that (cid:272)rosses 2 spe(cid:272)ifi(cid:272) poi(cid:374)ts o(cid:374) a fu(cid:374)(cid:272
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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture Notes - Lecture 8: Constant Function

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To find the slope of a tangent line, take the derivative as the slope. Recall; the derivative of a function is defined as (cid:4666)(cid:4667)=lim 0(ci
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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture 6: Lecture 5: Limits & Average Rate of Change

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When the x-value of a function is large, the leading term dominates the behaviour. So when the x-value is large, we can assume f(x) leading term. If x
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SFUMATH 154Yusuf TuncerFall

## MATH 154 Lecture 4: Lecture 3: Function Intersections & Limits

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The graphs of 2 functions intersect where the 2 functions are equal to each other. When we cancel x, we assume x 0, or treat x = 0 as a separate case.
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SFUMATH 154AllFall

## MATH154-final-v1-key 1171

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April 9, 2017: do not open this booklet until told to do so. Question maximum score: print your information legibly, correctly, and using large font on
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SFUMATH 154AllFall

## MATH154-final-v1 1171

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April 9, 2017: do not open this booklet until told to do so. Question maximum score: print your information legibly, correctly, and using large font on
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SFUMATH 154Yusuf TuncerFall

## MATH 154 Study Guide - Final Guide: Polynomial, Constant Function, Logistic Function

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SFUMATH 154AllFall

## MATH 154 Final: MATH154 Final Exam 2010 Spring

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SFUMATH 154Matthew DevosFall

## MATH 154 Final: chapter 4,5,6

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SFUMATH 154Matthew DevosFall

## MATH 154 Final: chapter 1,2,3

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SFUMATH 154Tony WiliiamsFall

## MATH 154 Final: chapter 14,15,16

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SFUMATH 154Tony WiliiamsFall

## MATH 154 Final: chapter 10,11,12

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SFUMATH 154AllFall

## MATH154-MT2-v1-key 1171

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Instructions: do not open this booklet until told to do so, print your information legibly, correctly, and using large font on the lines provided above
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SFUMATH 154AllFall

## MATH154-MT2-v1 1171

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Instructions: do not open this booklet until told to do so, print your information legibly, correctly, and using large font on the lines provided above
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SFUMATH 154AllFall

## MATH154-MT1-v1-key 1171

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Instructions: do not open this booklet until told to do so, print your information legibly, correctly, and using large font on the lines provided above
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SFUMATH 154AllFall

## MATH154-MT1-v1 1171

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Instructions: do not open this booklet until told to do so, print your information legibly, correctly, and using large font on the lines provided above
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