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Verified Documents at Wilfrid Laurier University

Browse the full collection of course materials, past exams, study guides and class notes for MA129 - Introductory Calculus for Business and Social Sciences at Wilfrid Laurier …
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PROFESSORS
All Professors
All semesters
Lawrence Howe
fall
9
Nasir Sohail
winter
1
Anne-Marie Allison
winter
15

Verified Documents for Anne-Marie Allison

Class Notes

Taken by our most diligent verified note takers in class covering the entire semester.
MA129 Lecture 3: Review
January 11, 2019 a is the leading coefficient, Eg. x and 2 is the degree of the function (highest power). = a 2 + b + c (x) x f. , the parabola will op
486
MA129 Lecture 4: Review
3 x2 x 2 = ( x2 x 2 = 3x2 6 3 + 6 x x2 x 2 = 3x2 9 + 6. 0 = 3x2 x2 9 + x + 6 + 2 x. But due to a restriction, =x / 2. X+1 ( x + 1 2 = 2 2 2 (x x + 1 =
379
MA129 Lecture 5: Linear Functions
Note: an ordered pair is a coordinate (x,y) Note: m is the slope of the line m < 0 since the line is the line is increasing m > 0. If m2 > m1
560
MA129 Lecture 6: Linear Functions
Ma129 lecture 6 - linear functions and quadratic functions. We can also write: (x) f is a rule that assigns output to an input. (dr. allison) y = f (x)
498
MA129 Lecture 7: Exponential Functions
Examples of translations y = x y = x y = 1 x + = x. Example: y = 2x y = x2 x. The graph of an exponential function grows a lot faster as their power co
652
MA129 Lecture Notes - Lecture 8: 32X
Example: solve 18 3 x = 32x + 1. Since they have the same base, we can equate the exponents, and solve for. Looking at the table we can see that. Knowi
455
MA129 Lecture Notes - Lecture 9: Binary Logarithm
Recall (exponentials): y = ax where a > 0. =a / 1 and and domain = r, range = 1. Notice that the domain and range is opposite when comparing exponen
347
MA129 Lecture 10: Linear Algebra
Solution set of a linear system: set of points that satisfy both equations. Consistent system: there is one solution or more. A system of linear equati
343
MA129 Lecture Notes - Lecture 11: Microsoft Powerpoint
When graphing a linear equation that has three variables, it is a plane, not a line. Possible solutions are and can be seen in the diagram below: singl
347
MA129 Lecture 12: Matrices
160
MA129 Lecture 13: Matrices - Adding, Subtracting, Multiplying
573
MA129 Lecture Notes - Lecture 15: Classification Of Discontinuities, Continuous Function
= l f (x) lim x a as y l. This means that the limit of x a be real numbers. L a y = f (x) (x) as be a function of approaches x y = f. February 8, 2019
4214
MA129 Lecture 16: Limits, Continuity, and Rates of Change
Ma129 lecture 16 - limits, continuity and rates of change. , then lim x a x = a or f (x) Note: always look for domain! f = lim lim x 1 x 1. To check if
669
MA129 Lecture 17: Rates of Change and Derivatives
Ma129 lecture 17 - rates of change and derivatives. This is also the slope of the tangent line f(x + x) f(x) What is the equation of the tangent line a
477
MA129 Lecture Notes - Lecture 18: Power Rule, Quotient Rule, Product Rule
Ma129 lecture 18 - techniques for finding derivatives. = 0 is an operator which needs an input (similar to how where df dx d dx. Therefore, the derivat
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