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MATHEMATICS: MODIFIED PROGRAM COURSES |
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| MTH-5107-2 | ||||
| In this course, students study exponential and logarithmic functions and their characteristics (domain, range, increase, decrease, etc.), and learn to find the rules of these functions and of the inverse functions. Students also have an opportunity to develop their algebraic skills by applying the properties of logarithms. Lastly, students solve equations and problems involving exponential and logarithmic functions. |
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| MTH-5108-2 | ||||
| In this course, students will learn about the various concepts related to trigonometric functions. They will learn about the trigonometric circle, angular and arc measures expressed in radians and the wrapping function. While all of the trigonometric functions will be covered, the graphs of the sine, cosine and tangent functions will be examined in greater detail. Students will also use trigonometric identities and the definitions of the trigonometric ratios to prove trigonometric identities and to solve simple trigonometric equations. Lastly, they will use sinusoidal functions to model situations and to solve problems. |
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| MTH-5109-1 | ||||
| This is the seventh course equivalent to MTH- 526 or MAT-536 in the youth sector. This course examines relationships governing measurements in circles (lengths, angles) and right triangles. |
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| MTH-5110-1 | ||||
| In this course, students will learn about vectors in the plane, algebraic and geometric vectors as well as vector notation and symbols. They will study operations on vectors and their properties: addition, multiplication by a scalar and scalar multiplication of two vectors. They will also be introduced to the formal mathematics pertaining to vectors: linear combination of vectors, vector bases in the plane and the use of vectors to prove the principles of geometry. The main focus of this course, however, is the use of vectors to solve problems. |
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| MTH-5111-2 | ||||
| In this course, students will review the functions that were introduced in previous courses. They will then study the composition of functions and the four operations on these functions as well as inequalities in one variable. This course also deals with geometry and summarizes content covered in previous courses. The emphasis is on rigorous reasoning and the ability to make connections among various mathematical concepts. |
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| MTH-5112-1 | ||||
| The goal of this course is to study reasoning expressedmathematically. In this course, students will learn to use logicalquantifiers and construct truth tables. They will also examine thenotions of implications and equivalences. They will be required tostudy the notions of existential and universal quantifiers. Finally,they will determine the negation of a compound propositional formand calculate the value of a compound propositional form. |
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