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# Intermediate Algebra Course Syllabus

Course Description:

This course covers rational expressions and equations , rational exponents, complex fractions , complex
numbers, variation, quadratic equations and inequalities, functions, and exponential and logarithmic
functions. Graphing calculator required.

Prerequisite(s): Grade of “C” or better in MTH 0140 or COMPASS testing.

Corequisite(s):

Entry Level Skills and Knowledge:
Basic Mathematics and Algebra Skills.

Required Texts, Supplies and Equipment:
Beginning and Intermediate Algebra, Second Edition by John Tobey, Jeffrey Slater, and Jamie Blair.

Hand-held Calculator: TI-83 + or 84+ required

Learning Outcomes:
General Education
Evaluate arguments in a logical fashion .

Course Outcomes:
Upon completion of this course, the student should be able to perform these competencies:

1. Factor.
2. Work complex fractions .
4. Simplify radicals and exponential expressions.
5. Work with complex numbers .
6. Solve the quadratic equation by factoring, formula, and by calculator
7. Work word problems that involve quadratic equations and inequalities.
Terra Community College Syllabus Page 2 of 6
8. Understand the concept of relations and functions, functional notation, and inverse relation
and functions.
9. Work problems involving direct, inverse, and joint variation.
10. Graph exponential and logarithmic functions.
11. Know the properties of logarithms (natural and common).
12. Work exponential and logarithmic equations.

Assessment of Student Learning:
This course may include a project that is one of several that will be used by faculty to assess student
academic performance in the program. A panel of faculty will review all (projects or whatever
assessment activity you are doing), then assess and summarize the academic performance of students
at this point in the program. The results of this assessment will be shared among the department
faculty, used to identify needed changes or improvements , and submitted to the Student Academic
Assessment Committee as part of the college’s overall student academic assessment effort.

Course Requirements:
There will be an assignment given each class period. This should be completed by the next class
meeting, at which time it will be discussed.

The final course grade will be determined as follows:

Daily Grades (quizzes, homework, class participation, etc.) 25%

Tests 50%

Comprehensive Final Exam 25%

90 – 100 = A
80 – 89 = B
70 – 79 = C
60 – 69 = D
0 – 59 = F

Policies:
The schedule of tests will be followed as closely as possible. Not all of the course work is in the text.
It is important to be in class and to take notes. Students are expected to read the text before class
discussion.

Tests must be taken on the scheduled day. Failure to do so will result in a ten percent (10%) penalty.
Make-up tests must be taken within one (1) week of the date that the test is given in class.

Final Exam Policy:
The final exam is comprehensive. All students, regardless of grade average, must take the
comprehensive final exam for this course

MTH 1310 Topical Outline:

 Session Course Content Reading Assignment Activity 1 Course Introduction 6.1 Removing a Common Factor 6.2 Factoring by Grouping pp. 376 – 380 pp. 381 – 385 p. 379 – 1-49 odd p. 384 – 1-27 odd 2 6.3 Factoring Trinomials of the Form x^2 + bx + c 6.4 Factoring Trinomials of the Form ax^2 + bx + c pp. 386 – 392 pp. 393 – 298 p. 391 – 1-57 odd p. 397 – 1-55 odd 3 6.4 Factoring Trinomials of the Form ax^2 + bx + c (continued) 6.5 Special Cases of Factoring pp. 393 – 298 pp. 400 – 405 p. 397 – 1-55 odd p. 404 – 1-75 odd 4 6.6 A Brief Review of Factoring 6.7 Solving Quadratic Equations by Factoring pp. 406 – 409 pp. 410 – 418 p. 408 – 1-43 odd p. 416 – 1-41 odd 5 TEST I (Chapter Six) 6 7.1 Simplifying Rational Expressions pp. 428 – 433 p. 432 – 1-33 odd 7 7.2 Multiplying and Dividing Rational Expressions pp. 434 – 438 p. 437 – 1-21 odd 8 7.3 Adding and Subtracting Rational Expressions pp. 439 – 446 p. 444 – 1-47 odd 9 7.4 Simplifying Complex Rational Expressions pp. 448 – 452 p. 452 – 1-19 odd 10 7.5 Solving Equations Involving Rational Expressions pp. 453 – 457 p. 456 – 1-29 odd 11 7.6 Ratio, Proportion, and Other Applied Problems pp. 458 – 466 p. 463 – 1-27 odd 12 TEST II (Chapter Seven) 13 8.1 Rational Exponents 8.2 Radical Expressions and Functions pp. 478– 484 pp. 485 – 492 p. 482 – 1-71 odd p. 491 – 1-93 every other odd (1, 5, 9, etc.) 14 8.2 Radical Expressions and Functions (continued) 8.3 Simplifying, Adding, and Subtracting Radicals pp. 485 – 492 pp. 493 – 498 p. 491 – 1-93 every other odd (1, 5, 9, etc.) p. 496 – 1-57 every other odd 15 8.4 Multiplying and Dividing Radicals 8.5 Radical Equations pp. 499 – 508 pp. 510 – 515 p. 505 – 1-71 odd p. 513 – 1-37 odd 16 8.6 Complex Numbers 8.7 Variation pp. 516 – 523 pp. 524 – 530 p. 521 – 1-81 odd p. 528 – 1-21 odd 17 TEST III (Chapter Eight) 18 9.1 Quadratic Equations Solving Quadratics by Calculator pp. 544 – 550 p. 548 – 1-53 odd 19 9.2 The Quadratic Formula and Solutions to Quadratic Equations 9.3 Equations of Quadratic Form pp. 551 - 559 pp. 560 – 566 p. 557 – 1-47 odd p. 563 – 1-31 odd 20 9.3 Equations of Quadratic Form (continued) 9.4 Formulas and Applications pp. 560 – 566 pp. 568 – 578 p. 563 – 1-31 odd p. 575 – 1-25 every other odd, 29-43 odd 21 9.5 Quadratic Functions 9.6 Compound Inequalities pp. 579 – 587 pp. 588 – 599 p. 583 – 1-29 odd p. 596 – 1-19 odd, 29-43 odd 22 9.7 Absolute Value Equations and Inequalities pp. 600 – 610 p. 607 – 1-69 odd 23 TEST IV (Chapter Nine) 24 11.1 Function Notation 11.2 Graphing Functions (also with calculator) pp. 680 – 685 pp. 686 – 693 p. 683 – 1-41 every other odd, 43, 45 p. 691 – 1-29 odd 25 11.3 Algebraic Operations on Functions 11.4 Inverse of a Function pp. 695 – 701 pp. 702 – 710 p. 699– 1-51 odd p. 708 – 1-33 odd 26 11.4 Inverse of a Function (continued) 12.1 The Exponential Function pp. 702 – 710 pp. 724– 732 p. 708 – 1-33 odd p. 729 – 1-49 every other odd 27 12.2 The Logarithmic Function 12. 3 Properties of Logarithms TEST V (Chapter 11) pp. 733 – 739 pp. 740 – 746 p. 737 – 1-25 odd, 27-63 every other odd p. 744 – 1-17 odd, 27-57 odd 28 12.4 Common Logarithms, Natural Logarithms, and Change of Base of Logarithms 12.5 Exponential and Logarithmic Equations pp. 748 – 755 pp. 756 – 766 p. 753 – 1-59 odd p. 762 – 1-53 odd 29 Course Review 30 COMPREHENSIVE FINAL EXAM

Policies

Course Withdrawing: If for any reason you need to withdraw from this course, be certain that you do
so according to College procedure. It is your responsibility to know and follow this procedure. If you
simply stop coming to class, without officially withdrawing from the course, your grade is an
automatic “F.” Please follow official College procedure for withdrawing from this or any course.

College Academic Policies are located in the College Catalog. A copy of the current catalog may be
picked up in any of the division offices or admissions. The list of college policies is also available
online at https://www.terra.edu/register/Collegecat/policies.asp.

Support Services: The College offers a number of support services to assist in your success in this
course and all courses. Among these services are the Writing & Math Center in B105, the Office of
Learning Support Services, which coordinates the campus disability services and tutoring programs,
the computer labs, and the computers in the atriums.

Any student who feels he/she may need an accommodation based on the documentation of a disability
should contact the Office of Learning Support Services privately to discuss his/her specific issues.
Please contact the OLSS at (419) 334-8400 X 208 or visit 100 Roy Klay Hall (Building A) to
coordinate reasonable accommodations.

If you have a documented disability and are receiving academic accommodations through the
Office of Learning Support Services, please schedule a meeting with your instructor in a timely
manner so that we may discuss how these services will be arranged.

Tutoring services are available to students beginning the second week of every quarter. Students
requesting tutoring services should obtain a tutor request form from the OLSS in 100 Roy Klay Hall
(Building A) or online at the Terra website. Please note that instructor verification and acceptance of
the Student Learner Agreement is necessary for all tutoring requests. All requests should be submitted
to 100 Roy Klay Hall (Building A).

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