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Department of Mathematics & Statistics

Concordia University

MATH 203

Differential & Integral Calculus I

Fall 2017

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*Students should get the above information from their instructor during class time. The instructor is the person to contact should there be any

questions about the course.

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MATH 203 - Fall 2017

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"§²©»²§ºµ¸¹ȎɎOnly calculators approved by the Department (with a sticker attached as a proof of

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MATH 203 - Fall 2017

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".-3$-32Ɏ

Weeks Topics Recommended Problems

MATH 203 - Fall 2017

Page 4

Choosing Between Math 201 and Math 203

Math Courses at Concordia

MATH 203 - Fall 2017

Page 5

MATH 203

Qualifying Test

1) What is the equation, in slope

-intercept form, of the line whose slope is 7 and whose y-intercept is -3? a) y = -3x + 7 b) y = 7x - 3 c) y = 7x + 21 d) y = 7x - 21 e) y = -7x + 3

2) What is the slope of any line parallel to the line 5x + 6y= 30?

a) -6

5 b) -5

6 c) 0 d)

5

6 e)

6 5

3) The lines -4x + 5y = -10 and 5x + ky = 12 are perpendicular. What is the value of k?

a) -5 b) -4 c) 4 d) 5 e) 10

4) Find the coordinates of the midpoint M, and the length L of the line segment joining the points (3, -2) and (4, -1).

Answer in simple radical form.

a) M7 2,-3 2 ) ) ,L=2 b) M7 2,3 2 ) ) ,L=3 c) M1 2 ,-1 2 ) ) ,L=2 d) M-1 2 ,1 2( ) ) ,L=2 e) M1 2 ,-1 2 ) ) ,L=3

5) What is the equation of the line having a slope of 0 and passing through the point (-6, -1)?

a) x = -6 b) x = -1 c) y = -6 d) y = -1 e) y = 1 6

6) Factor: 2x

2 + 11x + 15

a) (2x+3)(x+5) b) (x+3)(x+5) c) (2x+15)(x+1) d) (2x+5)(x+3) e) (2x+1)(x+15)

7) The expression x

2 - 10kx + R is a perfect square. Find the value of R.

a) 25 b) 5k

2 c) 25k2

d) 100k2 e) 25k2x2

8) Consider solving x2 + 12x + 5 = 0 by completing the square: x2 + 12x + ____ = -5 + ____

What is the number that goes in the blanks?Ɏ

a) 144 b) 36 c) 16 d) -16 e) -36

MATH 203 - Fall 2017

Page 6

9) Solve 3x

2 - 5x - 1 = 0 using the Quadratic Formula.

a) -10±101 3 b) -5±37 6 c)

5±37

6 d)

10±101

9 e)

10±101

3

10) The graph of the parabola y = x

2 + 6x + 13 is symmetric about a line. What is the equation of that line?

a) x = -3 b) x = 0 c) x = 3 d) y = 0 e) y = 3

11) What is the equation of the circle centered at (4, -5) with a radius of 16?

a) (x + 4)

2 + (y - 5)2 = 16 b) (x - 4)2 + (y + 5)2 = 4

c) (x + 4)

2 + (y - 5)2 = 256 d) (x - 4)2 + (y + 5)2 = 256

e) (x + 4)

2 + (y - 5)2 = 4

12) Determine which of the following triangles are right triangles if the sides" lengths are:

I) 8, 15, 17 II) 4, 5, 6 III) 2, 2, 3 IV) 9, 12, 15 a) I only b) II only c) III only d) I and IV only e) I, II and IV

13) A triangle ABC has right angle B. Sides AB and BC have the lengths 3 and 4 respectively. Determine the cosine

of angle A (cos A). a) 3 5 b) 3 4 c) 4 5 d) 4 3 e) 5 3

14) Which of the following ratios is the tangent of an angle?

a) opposite hypotenuse b) hypotenuse adjacent c) adjacent hypotenuse d) hypotenuse opposite e) opposite adjacent

15) What is the value of

sin2π 3? a) 1

2 b) -1

2 c) 3 2 d) -3 2 e) 2 2

16) What is the value of

cot3π 2? a) 0 b) 1 c) -1 d) 2

2 e) does not exist

MATH 203 - Fall 2017

Page 7

17) What is the value of log

2 64? a) 6 b) 8 c) 16 d) 128 e) 4096

18) Which of the following is equal to

logkA=3 2? a) k=A3 b) k=3 2 ) ) A c) 3

2=Ak d)

A=3 2 k e) A=k3

19) Write as a single logarithm:

log85-2log86 a) log85

36 b) log85

12 c) log811 d) log841 e) log8180

20) What is the result when

logAB

C is expanded?

a) log A + 1

2 (log B - log C) b)

1

2 (log A + log B - log C)

c) log A + log B - 2 log C d) 1

2 (log A log B - log C)

e) log A + log B -1

2 log C

19. a); 20. e)

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