MTH
06 Syllabus - Basic
Concepts of Mathematics II (0 credits - 6 hours per week)
Prerequisite:
MTH 05 or equivalent, and RDL 02 if required
TEXT : "Elementary and Intermediate Algebra with Geometry and
Trigonometry"
for MTH 05/06 by A. Kaufman, L. Goodman and J. Hirsch;
custom
published for BCC by International Thompson Publishing (ITP)
Sections Section Topics Pages Suggested Exercises
PART II : SELECTED CHAPTERS from INTERMEDIATE ALGEBRA by A. Kaufman
Chapter 4. Rational Expressions
4.1 Simplifying Rational Expressions 333-335 1,5,12,15,19,20,23-35 odd; 39
4.2 Multiplying and Dividing Rational Expressions 339-340 1,9, 13-27 odd; 32,33
4.3 Adding and Subtracting Rational Expressions 346-348 1,3,7,14,17,21,27,29,31,36,39,43,53,53,59
4.4 More on Rational Expressions and 354-356 1-15 odd; 23,24,37,39,42,45,49,53,55
Complex Fractions
4.6 Fractional Equations 367-369 1,3,8,9,11,16,19,21,25,33,35,39,43
4.7 More on Fractional Equations and Applications 376-378 1-17 odd;31-43 odd; 46,49,51,52,57
Chapter 5. Exponents and Radicals 5.1 Using Integers as Exponents 391-392 3,7,11,13,20,25,29,31,34,39,42,47-61 odd; 65,67,71,73,77,79 5.2 Roots and Radicals 401-403 3,7,11,14,17,25,31,36,41,45,49,57,63,71,73 5.3 Combining Radicals and Simplifying Radicals 407-409 1,3,7,8,11,14,17,19,27-35 odd; 45,48,55,59 That Contain Variables 5.4 Products and Quotients Involving Radicals 413-415 3,5,8,13,16,19,22,25,31,33,37,41,44,47,50 55,57,58,63,66,67 5.5 Equations Involving Radicals 419-420 3,7,11,14,17,19,25-35 odd; 39,42,45,47 5.6 Merging Exponents and Roots 425-426 1,3,6,11,18,21,25,33,35,39,49,53,55 59-67 odd; 81-89 odd 5.7 Scientific Notation 430-431 1,5,9,15,21,25,27,29,31,35,41,45,47,49
Chapter 6. Quadratic Equations and Inequalities 6.1 Complex Numbers 448-449 9-15 odd; 23-31 odd; 37,41-51 odd; 60,65,67 70,73,78,79,83-93 odd; 99 6.2 Quadratic Equations 455-457 3,5,9-15 odd; 20,23,34,37,41,53-59 odd; 67,69 6.3 Completing the Square 461-462 15-15 odd; 28 33,35,41-47 odd; 51,57,58 6.4 Quadratic Formula 469-470 11-27 odd; 32,33,35,42,47,49 6.5 More Quadratic Equations and Applications 477-479 21-27 odd; 31,41-53 odd Chapter 7. Equations in Two Variables and Their Graphs 7.4 Distance and Slope 501-502 1-15 odd 7.5 Determining the Equation of a Line- 510-512 31-41 odd Parallel and Perpendicular Lines (p. 507- p. 510 only) 7.6* Graphing Parabolas (Examples 1-6 only) 521-522 1-11 odd 7.7* More Parabolas and Some Circles (p. 525-p. 527) 528-530 23-47 odd
Chapter 10. Exponential and Logarithmic Functions 10.3 Logarithms (Definition: Examples 1-4) 538-539 1-49 odd PART III : GEOMETRY by L. Goodman and J. Hirsch Chapter G. Geometry G.1 Angles 548-550 1, 3,4,5-13 odd; 14,15-23 odd; 24 G.2 Triangles 555-557 1-11 odd; 19-35 odd G.3 Congruence 563-565 1-23 odd G.4 Similarity 574-577 1-17 odd; 21,27,29,33 G.5 Quadrilaterals 583-585 1,2,3,5,7,13,15,17,21,23-29 odd PART IV : TRIGONOMETRY by A. Kaufman Chapter 14. Basic Concepts of Trigonometry 14.1 A Brief Review of Some Geometric Concepts 615-617 1,3,7,11,15,19,27,29,35,37,39 14.2 Radian Measure 623-625 1,5,9,11,15,19,22,25,31,37-43 odd 14.3 Trigonometric Functions 634-636 1,5,9,13,25,33,35,36,39-47 odd;49 14.4 Trigonometric Functions of Any Angle 645-646 1,5,11,13,17,23,25,31,35,43 14.5 Right Triangle Trigonometry 655-657 1,5,9,13,17,23,27,29,31,36,41 14.6 Solving Oblique Triangles : Law of Cosines 662-664 1,3,5,9,11,15,20,21,22,26 14.7 Law of Sines 673-675 1,3,7,11,13,17,22,23,29 * Note to the instructor: In Sec 7.6, cover the parabolas of the form y = ax2 only. In Sec 7.7, cover the circles only. 01/99 (PY)