MA2030 589 UNIVERSITY OF MORA TUW A Faculty of Engineering Department of Mathematics B. Sc. Engineering Level 2 - Semester 2 Examination: MA 2030 LINEAR ALGEBRA Time Allowed: 2 hours 2010 September 2010 ADDITIONAL MATERIAL: None INSTRUCTIONS TO CANDIDATES: This paper contains 6 questions and 5 pages. Answer FIVE questions and NO MORE. This is a closed book examination. Only the calculators approved and labeled by the Faculty of Engineering are permitted. This examination
Premium Linear algebra
Introduction to College Algebra November 9‚ 2009 2 Chapter 1 Sets Definition 1.1. A set is a well-defined collection of distinct objects. Each object in a set is called an element of the set. By “well-defined”‚ we mean that the rule of membership to the set is clear. Example 1.2. The following are examples of sets. 1. The set of counting number less than 5. 2. The set of vowels in the word “mathematics”. 3. The set of cities in the Philippines. 4. The set of positive integers from −2 to
Premium Integer Real number Natural number
MIDTERM NOTES Solve Linear Equations 0. Cancel all denominators by multiplying every term by the LCD. 1. Simplify LHS and RHS. 2. Eliminate variable term on RHS. 3. Eliminate variable term on LHS. 4. Eliminate the coefficient of the variable. Solve Rational Equations 1. Find LCD. 2. Cancel all denominators by multiplying every term by the LCD. 3. Solve. 4. Omit those solutions that make LCD=0. Complex Numbers: a + bi Powers of i: i0 = 1‚ i1 = i‚ i2 = −1‚ i3 = −i in = ir where r is the
Free Polynomial Function Quadratic equation
Even though college algebra is considered to be an obstacle for many students in terms of degree completion‚ as teachers we must teach useful strategies to motivate our students to find interest in mathematics. Recently‚ there is a psychological problem that we as teachers will face in the future‚ which is that some students believe they were born incompetent in math. However‚ “effort is key to their success and failure is a result of a lack of effort” (Cortes-Suarez‚ 2004). As teachers‚ we must
Premium Critical thinking Mathematics Problem solving
The Primary Trig Ratios – Practice with SOH CAH TOA 1. In each triangle‚ name the side: 2. Calculate the Sin A and Sin B in each triangle. 3. Calculate. a. Sin 42 b. Cos 68 c. Tan 12 4. Calculate the value of x. a. b. 5. Calculate. a. Sin0.612 b. Cos 0.825 c. Cos d. Tan 6. Calculate E to the nearest degree.
Premium
Module 5 Circular Functions and Trigonometry What this module is about This module is about trigonometric equations and proving fundamental identities. The lessons in this module were presented in a very simple way so it will be easy for you to understand solve problems without difficulty. Your knowledge in previous lessons would be of help in the process What you are expected to learn This module is designed for you to: 1. state the fundamental identities 2. prove trigonometric identities
Premium
Homework Sheet - Basic Algebra 1. John and Sarah are simplifying this expression. 3a + 8b + 7a – 6b John says the answer is 2a + 2b and Sarah says the answer is 10a + 14b. What is the correct answer? Sarah 2. Simplify these expressions. a) 4d + 6e – 2d – 3e = 2d-3e b) 12g – 3h – 8g + h = 4g-4h c) k + 2k + 3k – m – 2m – 3m = 6k-3m d) 7c + 4d – 10c + 5d = -3c+9d 3. Multiply out these brackets. a) 3(2a + 7) = 6a+21 b) 5(3x – 2y) = 15x-10 c) 2(4g2 – 3g) = 8g2-6
Premium Mathematics Polynomial Group
Chapter’s 1 & 2 Test Review 1) Write the expression in standard form a+bi (2-2i)(9+i) (-7+5i) - (6-8i) (3+i)^2 2) Solve the following equation by factoring x^2 - 6x = 0 3) A bank loaned $17‚000‚ part of it at the rate of 8% per year and the rest at 18% per year. If the interest received in one year totaled at $2‚000‚ how much was loaned at 8%? 4) Find the real solutions of the equation √2x-7 = 0 5) Solve the inequality 5 < 7 - ½x < 9 6) Decide whether the following
Premium Line Elementary algebra Linear equation
Where will I ever need algebra? Where do you need square roots? When will I ever use the Pythagorean Theorem? Will algebra even be ’relevant ’ in the future? These are a few of the many questions that one asks when they have to take an algebra course. This is a required subject in most colleges to further ones education. The first year of algebra is a prerequisite for all higher-level math: geometry‚ algebra II‚ trigonometry‚ and calculus. It is quite true‚ while many people get by without an education
Premium Mathematics Pythagorean theorem Geometry
EUREKA MATH – AFUHSD Mid-Module Review M1 ALGEBRA I Name Date 1. Jacob lives on a street that runs east and west. The grocery store is to the east and the post office is to the west of his house. Both are on the same street as his house. Answer the questions below about the following story: At 1:00 p.m.‚ Jacob hops in his car and drives at a constant speed of 25 mph for 6 minutes to the post office. After 10 minutes at the post office‚ he realizes he is late and drives at a constant speed of
Premium Algebra Time Addition