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Basic Skills for MATH 105 - learned in MATH 104.pdf

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MATH 105
Julia Kam

In taking this class, you are expected to have proficiency in basic pre-calculus and differential calculus. Having this basic knowledge will make your time in the course a lot more enjoyable; weakness in basic skills is the biggest stumbling block to math, not the new material itself. It is your responsibility to review this material and any unfamiliar terminology below. This is essential to understanding the material and in succeeding on exams. This is not all-inclusive, but it is a good start. Algebra: - Solving a quadratic equation (ax + bx + c = 0) and quadratic formula 2 2 - How to complete the square e.g. -x + 6x + 2 = -(x-3) + 11 - How to factor a general polynomial (with integer or rational roots) e.g. x + x – 8x – 12 = (x+2) (x-3) 2 2 2 - Logic in equalities e.g. √(x + y ) = x + y, 1/(x+y) = 1/x + 1/y are not true - How to solve inequalities e.g. x > 4 means x < -2 or x > 2. - Solving 2 by 2 or 3 by 3 systems of linear equations e.g. x+3y=7, 4x-11y = 18. Trigonometry and Geometry - Special angles and special triangles (sin, cos, tan for 0, π/6, π/4, π/3, π/2, π) - Basic trigonometric identities e.g. sin(a+b) = sin a cos b + cos b sin a - Similar triangles Functions:
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