# Course Syllabus for Numerical Mathematics

**Course Description:**

This course covers the basic arithmetic of whole numbers, exponents and roots ,
the order

of operations, fractions, decimals, percents, ratio and proportion, measurement
and units,

integers, geometry, simple statistics and includes applications that use those
topics.

Students will learn to work for part of the course without the use of a
calculator.

**3 (non-degree)** credits Prerequisite: Placement test

**Course Objectives
**Students will achieve objectives with an asterisk * without the use of a
calculator.

Upon successful completion of the course, the student will be able to:

*1. Use whole numbers in the four basic arithmetic operations (+, –, x, /).

*2. Use exponents and the order of operations .

*3. Use fractions in the four basic arithmetic operations.

*4. Use decimals in the four basic operations and round them.

*5. Calculate square roots of perfect squares and estimate square roots of decimals.

*6. Find ratios and solve proportions.

7. Calculate percents and solve the three kinds of percent problems.

8. Perform simple financial calculations, such as unit cost, discounts, balance.

9. Calculate simple interest and percents of increase/decrease and profit/loss.

10. Make and understand graphs and tables of data.

11. Make a histogram and find the mean, median and mode of sets of data.

12. Make measurements using the metric and U.S. systems and perform unit conversions

within and between the systems.

*13. Perform the four basic operations with integers and rational numbers.

14. Perform geometric calculations using angles, perimeter, area and volume.

Course Requirements

Course Requirements

Students are expected to attend all scheduled classes, do the homework

assigned each day for the next class, complete graded worksheets, take tests and be active

participants in the class.

**Student Evaluation and Testing**

Student evaluation may include in-class or take-home testing,

class attendance, participation in class, graded worksheet assignments and notebook of

lecture notes and daily homework assignments. Your instructor will make clear his or her

grading system with an example in class.

**Required Text, Tools, and/or Supplies:**

BASIC COLLEGE MATHEMATICS by Lial, Salzman and Hestwood, 7^{th} edition,

Addison-Wesley, 2006, packaged with Student Solutions Manual, and

MyMathLab (Student Access Code)

Scientific Calculator (for later in the course and further math courses)

**Non-discrimination and Disability Statements:**

Southern Maine Community College is an equal opportunity/affirmative action
institution and

employer. For more information, please call 207-741-5798.

If you have a disabling condition and wish to request accommodations in order to
have reasonable

access to the programs and services offered by SMCC, you must register with the
disability

services coordinator, Mark Krogman, who can be reached at 741-5629.

(TTD 207-741-5667) Further information about services for students with
disabilities and the

accommodation process is available upon request at this number.

Student Course Evaluation:

Students may evaluate the course online and anonymously by going to “Resources
for Current

Students” at the SMCC homepage and selecting “Evaluate Your Courses.” The online
course

evaluation is available to students two weeks prior to the end date of the
course. Students cannot

see a course grade online until the online course evaluation is completed.

**Topical Outline of Instruction:**

WHOLE NUMBERS Chapter 1 (1.1 – 1.10)

Addition, subtraction, multiplication and division

Exponents, square roots and the order of operations

Calculating square roots of perfect squares

MULTIPLYING AND DIVIDING FRACTIONS Chapter 2 (2.1 – 2.8)

Writing and reducing fractions and mixed numbers

Prime numbers and prime factorization

Multiplying and dividing fractions and mixed numbers

ADDING AND SUBTRACTING FRACTIONS Chapter 3 (3.1 – 3.5)

Least common multiples

Adding and subtracting fractions and mixed numbers

Order relations and the

DECIMALS Chapter 4 (4.1 – 4.6)

Place value and rounding

Four operations with decimals

Converting fractions and decimals

Estimating square roots of whole numbers and decimals

RATIO AND PROPORTION Chapter 5 (5.1 – 5.5)

Ratios and rates

Unit rates and unit price comparisons

Writing and solving proportions

PERCENTS Chapter 6 (6.1 – 6.7)

Writing percents, decimals and fractions

Solving the three kinds of percent problems

Applications of percents: sales tax, commissions,

percent increase/decrease

Simple interest calculations

UNITS AND CONVERSIONS Chapter 7 (7.1 – 7.5)

Using the metric and U.S. customary systems

Conversions

INTEGERS ( Signed Numbers ) Chapter 9 (9.1 – 9.4)

Four operations with integers

Order relation with integers

Order of operations with integers

GEOMETRY Chapter 8 (8.1 – 8.9)

Lines, angles and degrees

Perimeter, area and volume

Pythagorean Theorem

Similar triangles

SIMPLE STATISTICS Chapter 10 (10.1 – 10.4)

Reading and making graphs of data

Mean, median and mode of data

Simple probabilities of coins, cards, etc. (optional)

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