# All Educational Materials for MATH 140 at University of Maryland (UMD)

## Popular Study Guides

UMDMATH 140GulickFall

## MATH 140- Final Exam Guide - Comprehensive Notes for the exam ( 76 pages long!)

OC237612176 Page
0
Math 140 lecture 1 precalculus review and limits. Quadratic formula: ex: (cid:884)(cid:2871) (cid:885)(cid:2870) =(cid:882) (cid:1858) =(cid:882, = (ci
View Document
UMDMATH 140GulickFall

## MATH 140- Midterm Exam Guide - Comprehensive Notes for the exam ( 76 pages long!)

OC237612176 Page
0
Math 140 lecture 1 precalculus review and limits. Quadratic formula: ex: (cid:884)(cid:2871) (cid:885)(cid:2870) =(cid:882) (cid:1858) =(cid:882, = (ci
View Document
UMDMATH 140AllFall

## Exam 1

2 Page
0
View Document
UMDMATH 140AllFall

## Final Exam

14 Page
0
View Document
UMDMATH 140AllFall

## Exam 1

1 Page
0
View Document
UMDMATH 140AllFall

## Exam 2

1 Page
0
View Document
UMDMATH 140AllFall

## Mid-Term

2 Page
0
View Document
UMDMATH 140AllFall

## Final Exam

1 Page
0
View Document
UMDMATH 140AllFall

## Exam 3

1 Page
0
View Document
UMDMATH 140AllFall

6 Page
0
View Document
View all (100+)

## Trending

Frequently-seen exam questions from 2014 - 2018.
UMDMATH 140AllFall

## Exam 1

2 Page
0
View Document
UMDMATH 140AllFall

## Final Exam

14 Page
0
View Document
UMDMATH 140AllFall

## Exam 1

1 Page
0
View Document
UMDMATH 140AllFall

## Exam 2

1 Page
0
View Document
UMDMATH 140AllFall

## Mid-Term

2 Page
0
View Document
UMDMATH 140AllFall

## Final Exam

1 Page
0
View Document
UMDMATH 140AllFall

## Exam 3

1 Page
0
View Document
UMDMATH 140AllFall

## Final Exam

6 Page
0
View Document
UMDMATH 140AllFall

## Exam 1

1 Page
0
View Document
UMDMATH 140AllSpring

2 Page
0
View Document

## Premium Notes

UMDMATH 140GulickFall

## MATH 140 Study Guide - Final Guide: Cosc, Paq, Paper Cup

OC53748898 Page
123
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 38: Ellipse, Hyperbola

OC5374883 Page
26
Math140 lecture 38 conic sections (cont. ) Let p 1 and p 2 be distinct points in the plane. Let | p 1 p 2 | > 2 a , where a is a positive. The points p
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 37: Ellipse

OC5374882 Page
39
Math140 lecture 37 conic sections (parabolas and ellipses) Let p be a point not on a given line l . P and l form a parabola: let p = (0, c , let the li
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture 36: Exam 4 Review

OC5374882 Page
18
( 1 + 2 1 = 0 (2. Explain: since ln x is increasing on [1, 2], the left sum is automatically less than n x dx l. 2 w w3 2 w = 0 on. Find the domain of
View Document
UMDMATH 140GulickFall

## MATH 140 Midterm: Complete and Comprehensive 60 Page Midterm Exam Study Guide

OC53748860 Page
407
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture 35: Bounded Areas

OC5374882 Page
11
Math140 lecture 35 area of bounded regions. = l n b c n (bc) l n a l n ( ) l o o o. Find the domains of the following logarithms: o o o o n (x l n ( l
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture 34: Area Revisited

OC5374881 Page
15
= l dx f (x) f(x) an x dx t. Recall: if the area between the graph and the x -axis. Next, let f , g be continuous on [a, b]. Then the area of the bound
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture 33: Logarithmic Differentiation

OC5374884 Page
21
The fundamental theorem of calculus states that: G( x)= x a f (t )dt , a x b g"( x)=f (x) if f is continuous on [a, b]. If h and k are differentiable o
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 32: Negative Number, Scilab

OC5374883 Page
51
=g (f (x))=[g"( f (x))] f "( x)=g(f ( x)) g(f ( x))f "( x) dx= g(u) du=g (u)+c=g ( f ( x))+c: substitute u, then substitute f(x) for u. Examples: ex1:
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture 31: Indefinite Integrals

OC5374883 Page
16
If f is any antiderivative of f on [a, b], then b a f ( x) dx=f (b) f (a: the big deal in evaluating b a f ( x) dx is finding an antiderivative of f, n
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 30: Mean Value Theorem, Antiderivative

OC5374884 Page
34
0 sin x dx with riemann sums: to prepare for the fundamental theorem, let f be continuous on [a, b], define g( x)= x a f (t )dt for all x in [a, b], no
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture 29: Integral Properties

OC5374884 Page
25
U f ( p)=f (c) h+f (c+h)h+f (c+2h)h+ +f ( c+(n 1)h) h. Lf ( p)=f (c+h) h+f (c +2h) h+ f ( c+h)h o o o: properties of area: A small< alarge o o o: riema
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 28: Riemann Sum, If And Only If

OC5374883 Page
22
A smaller< a larger o o o: lower and upper sums: U f ( p)= m1(x1 x0)+ m n(xn xn 1) o o: note: lf ( p) u f (p, partitions, let p be a partition by addin
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 27: Axa, Royal Institute Of Technology

OC5374882 Page
22
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 25: Inflection Point, Inflection

OC5374882 Page
8
= 0 for all x in the domain: symmetry with respect to the origin, occurs when f ( ) (x) x = f for all x in the domain. For all examples, find relative
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 23: Inflection, Second Derivative

OC5374882 Page
16
The graph of f is concave upward on an interval i if f " is increasing on i . The graph of f is concave downward on an interval i if f " is decreasing
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 24: Asymptote, Inflection

OC5374882 Page
14
Relative extreme values are values of the function (ex: f (a)) Inflection points are points of the form ( c , f ( c )) Be sure to label the axes on the
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 26: Mean Value Theorem, Inflection

OC5374883 Page
16
The following material will be covered by the exam: max-min problems, methods for solving them: Use section 4. 1 (plugging in critical points) Second-d
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture 22: More Applications

OC5374883 Page
28
Problems: find two nonnegative numbers whose sum is 1 and such that the product of the square of one number and the cube of the other number is maximal
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 21: Aomedia Video 1, Candela, Ferrari P

OC5374884 Page
22
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 20: Mean Value Theorem, If And Only If

OC5374882 Page
19
Math140 lecture 20 finding relative extrema. Mean value theorem: let f be continuous on [a, b] and let f " exist on (a, b). Then there is a c in (a, b)
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 19: Exponential Decay, Exponential Growth

OC5374883 Page
30
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture 18: Antiderivatives

OC5374883 Page
22
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 17: Cosc, Mean Value Theorem

OC5374883 Page
26
Then there is a c on (a, b) such that f " (c)= f (b) f (a) b a: three star theorem. It says that the slope of the tangent line at (c, f(c)) = the slope
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture 16: Graphing Problems Involving Derivatives

OC5374883 Page
25
Then f(x0) = maximum value for all x in [a, b]. for all x in [a, b]; it is the minimum if f (x) f (x0) f ( x) f (x0) if f (x0) is an extreme value if i
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 15: Paper Cup, Airco Dh.2, Quotient Rule

OC5374885 Page
22
E4 a: quotient rule: f " ( x)= = y ex e y x ex+ex: plug point in: dy dx. 0e1+e0 = 1 e: equation of the line: y 1=( 1 e)(x, justify why the equation ln
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 14: Stol, Triangular Prism, Pythagorean Theorem

OC5374884 Page
22
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 13: Ellipse, Pythagorean Theorem

OC5374885 Page
41
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture 11: Chain Rule

OC5374883 Page
28
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 12: Quotient Rule, Differentiable Function

OC5374883 Page
33
Examples of implicitly defined functions: o o x2+ y2=4 exy+x2 y3= . =0: derive: 2x+2y dy dx, solve for dy/dx: 2y dy dx. = x y: thus, dy dx at ( 1, )= 1
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 10: Quotient Rule, Fax, Third Derivative

OC5374883 Page
21
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 9: Quotient Rule, Product Rule

OC5374883 Page
16
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 8: Power Rule, Differentiable Function, If And Only If

OC5374885 Page
42
Definition of the derivative f " (a)=lim x a f ( x) f (a) x a =lim h 0 f ( a+h) f (a) h: for a general x in the domain: f (t ) f (x) t x lim t x. If a
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture 6: Bisection Method and Derivatives

OC5374883 Page
17
If f(c1) > 0, then let a point c2 be the midpoint of a and c1: ex 1: let f ( x)=cos x x . Approximate the zero of f to within 1/8. o o o o f (0)=cos0 0
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 7: Write-Off, Umber, Intermediate Value Theorem

OC5374887 Page
24
Sample exam problems and solutions: problem 1: determine which of the limits below exist as a number, which as , which as , and which do not exist. Fin
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture 5: Continuity and the I.V.T.

OC5374884 Page
14
Math140 lecture 5 continuity and the intermediate value theorem. +n for all n, it is continuous at all x in its domain: a function f is continuous if i
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture 4: One-Sided Limites

OC5374884 Page
18
Math140 lecture 4 one-sided and infinite limits. Let f (x)=c lim x a and let g( x)=l lim y c. , then g( f (x))=l lim x a: note: as x goes to a, then y
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 1: Quadratic Formula, Polynomial, Trigonometry

OC5374884 Page
25
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 3: Quotient Rule, Product Rule

OC5374882 Page
21
Math 140 lecture 3 limits (continued) = l if for each a > 0 there is a > 0 so that if 0 < |x-a| < , then |f(x)-l| < : show that, let > 0 arbitrary. To
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 2: Farad, Fot, Constant Function

OC5374882 Page
18
View Document
View all Premium Notes (40+)

## Popular Professors

View all professors (7+)

## Popular Class Notes

UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 38: Ellipse, Hyperbola

OC5374883 Page
26
Math140 lecture 38 conic sections (cont. ) Let p 1 and p 2 be distinct points in the plane. Let | p 1 p 2 | > 2 a , where a is a positive. The points p
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture 35: Bounded Areas

OC5374882 Page
11
Math140 lecture 35 area of bounded regions. = l n b c n (bc) l n a l n ( ) l o o o. Find the domains of the following logarithms: o o o o n (x l n ( l
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture 36: Exam 4 Review

OC5374882 Page
18
( 1 + 2 1 = 0 (2. Explain: since ln x is increasing on [1, 2], the left sum is automatically less than n x dx l. 2 w w3 2 w = 0 on. Find the domain of
View Document
UMDMATH 140Nathaniel ManningFall

## MATH 140 Lecture 29: 5.4 - The Fundamental Theorem of Calculus

OC19293112 Page
0
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 37: Ellipse

OC5374882 Page
39
Math140 lecture 37 conic sections (parabolas and ellipses) Let p be a point not on a given line l . P and l form a parabola: let p = (0, c , let the li
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 8: Power Rule, Differentiable Function, If And Only If

OC5374885 Page
42
Definition of the derivative f " (a)=lim x a f ( x) f (a) x a =lim h 0 f ( a+h) f (a) h: for a general x in the domain: f (t ) f (x) t x lim t x. If a
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 17: Mean Value Theorem

OC23761212 Page
0
View Document
UMDMATH 140Denny GulickFall

## MATH 140 Lecture Notes - Lecture 19: Exponential Decay, Exponential Growth

OC4744153 Page
40
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture 31: Indefinite Integrals

OC5374883 Page
16
If f is any antiderivative of f on [a, b], then b a f ( x) dx=f (b) f (a: the big deal in evaluating b a f ( x) dx is finding an antiderivative of f, n
View Document
UMDMATH 140GulickFall

OC5374882 Page
22
View Document
View all (100+)

## Most Popular

Your classmates’ favorite documents.
UMDMATH 140Denny GulickFall

## MATH 140 Study Guide - Quiz Guide: Intermediate Value Theorem, Write-Off, Asymptote

OC4744157 Page
87
Sample exam problems and solutions: problem 1: determine which of the limits below exist as a number, which as , which as , and which do not exist. Fin
View Document
UMDMATH 140GulickFall

## MATH 140 Study Guide - Final Guide: Cosc, Paq, Paper Cup

OC53748898 Page
123
View Document
UMDMATH 140GulickFall

## MATH 140- Final Exam Guide - Comprehensive Notes for the exam ( 76 pages long!)

OC237612176 Page
0
Math 140 lecture 1 precalculus review and limits. Quadratic formula: ex: (cid:884)(cid:2871) (cid:885)(cid:2870) =(cid:882) (cid:1858) =(cid:882, = (ci
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture Notes - Lecture 38: Ellipse, Hyperbola

OC5374883 Page
26
Math140 lecture 38 conic sections (cont. ) Let p 1 and p 2 be distinct points in the plane. Let | p 1 p 2 | > 2 a , where a is a positive. The points p
View Document
UMDMATH 140GulickFall

## MATH 140 Midterm: Complete and Comprehensive 60 Page Midterm Exam Study Guide

OC53748860 Page
407
View Document
UMDMATH 140GulickFall

## MATH 140- Midterm Exam Guide - Comprehensive Notes for the exam ( 76 pages long!)

OC237612176 Page
0
Math 140 lecture 1 precalculus review and limits. Quadratic formula: ex: (cid:884)(cid:2871) (cid:885)(cid:2870) =(cid:882) (cid:1858) =(cid:882, = (ci
View Document
UMDMATH 140allFall

## MATH 140 Final: MATH140 Final Exam 2010 Fall

OC25402942 Page
0
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture 35: Bounded Areas

OC5374882 Page
11
Math140 lecture 35 area of bounded regions. = l n b c n (bc) l n a l n ( ) l o o o. Find the domains of the following logarithms: o o o o n (x l n ( l
View Document
UMDMATH 140allFall

## MATH 140 Study Guide - Final Guide: Cubic Foot

OC25402942 Page
0
View Document
UMDMATH 140GulickFall

## MATH 140 Lecture 36: Exam 4 Review

OC5374882 Page
18
( 1 + 2 1 = 0 (2. Explain: since ln x is increasing on [1, 2], the left sum is automatically less than n x dx l. 2 w w3 2 w = 0 on. Find the domain of
View Document

## Most Recent

The latest uploaded documents.
UMDMATH 140AllFall

## Exam 3

3 Page
0
View Document
UMDMATH 140AllSpring

## Exam 4

OC25402941 Page
0
View Document
UMDMATH 140AllFall

## Exam 3

OC25402944 Page
0
View Document
UMDMATH 140AllFall

## Final Exam

OC25402942 Page
0
View Document
UMDMATH 140AllSpring

## Exam 1

OC25402942 Page
0
View Document
UMDMATH 140AllSpring

## Final Exam

OC25402942 Page
0
View Document
UMDMATH 140AllSpring

## Final Exam

2 Page
0
View Document
UMDMATH 140AllFall

## Exam 3

2 Page
0
View Document
UMDMATH 140AllFall

## Final Exam

2 Page
0
View Document
UMDMATH 140AllSpring

## Exam 1

1 Page
0
View Document

All Materials (1,700,000)
US (750,000)
UMD (20,000)
MATH (7,000)
MATH 140 (400)