I. General Information
1. Course Title:
Concepts in Mathematics
2. Course Prefix & Number:
MATH 1441
3. Course Credits and Contact Hours:
Credits: 3
Lecture Hours: 3
4. Course Description:
This is a college level math course that demands a fundamental algebra background and familiarity with a calculator. Topics include at least four of the following: geometry, trigonometry, graphs, logic, probability, statistics, finance, numeration systems, and set theory.
5. Placement Tests Required:
Accuplacer (specify test): 
College Level Math 
Score: 
50 
6. Prerequisite Courses:
MATH 1441  Concepts in Mathematics
Applies to all requirements
Accuplacer College Level Math score of 50 or higher, or MATH 1505 or MATH 1506
7. Other Prerequisites
8. Prerequisite (Entry) Skills:
Fundamental algebra background and familiarity with a calculator.
9. Corequisite Courses:
MATH 1441  Concepts in Mathematics
There are no corequisites for this course.
II. Transfer and Articulation
1. Course Equivalency  similar course from other regional institutions:
Name of Institution

Course Number and Title

Credits

St. Cloud State University

MATH 105 Culture of Mathematics

3

Itasca Community College

MATH 1101 Contemporary Mathematics

3

III. Course Purpose
MN Transfer Curriculum (General Education) Courses  This course fulfills the following goal area(s) of the MN Transfer Curriculum:
Goal 4 – Mathematical/Logical Reasoning
IV. Learning Outcomes
1. CollegeWide Outcomes
CollegeWide Outcomes/Competencies 
Students will be able to: 
Assess alternative solutions to a problem 
Apply higherorder problemsolving and/or modeling strategies. 
Analyze and follow a sequence of operations 
Explain what constitutes a valid mathematical argument 
Apply abstract ideas to concrete situations 
Clearly express mathematical/logical ideas in writing 
2. Course Specific Outcomes  Students will be able to achieve the following measurable goals upon completion of
the course:
Expected Outcome

MnTC Goal Area

Apply higherorder problemsolving and/or modeling strategies.

4

Clearly express mathematical ideas in writing.

4

Illustrate historical and contemporary applications of mathematical/logical systems.

4

V. Topical Outline
Listed below are major areas of content typically covered in this course.
1. Lecture Sessions
At least four of the following topics will be covered.

I. Logic
A. Statements B. Truth Tables C. Conditional and Biconditional D. Variations of the Conditional and Implications E. Euler Diagrams F. Truth Tables and Validity G. Switching Networks

II. Sets and Counting
A. Cardinal number formulas for union and complement B. Venn diagrams C. DeMorgan’s Laws D. Fundamental Theorem of Counting. E. Permutations F. Combinations G.Determining the correct counting principle for a given situation
H. Intersection, union, complement of sets

III. Probability
A. Understand the history of the development of probability theory. B. Terminology of probability: experiment, sample space, event, outcome, relative frequency, odds. C. Basic rules of probability D. Using counting principles (permutations, combinations) to calculate probabilities E. Expected value F. Conditional probability and the product rule G. Punnett squares H. Independence of events

IV. Statistics
A. Frequency distributions and histograms B. Measures of central tendency for raw data and grouped data C. Standard deviation for a set of raw data and for grouped data D. The standard normal (z) distribution E. Margin of error and level of confidence F. Terminology of statistics: population, sample, data, frequency
distribution, histogram, measures of central tendency, measures of
dispersion, etc.

V. Finance
A. Terminology of finance: principal, simple and compound interest, future value, present value, annuity, amortization, etc. B. Using the compound interest formula C. Credit card finance charges, bank deposits and loans D. Ordinary annuities and annuities due E. Using the simple interest formula F. Payout annuities G. Simple interest amortized loan formula, payment amounts, amortization schedules

VI. Geometry
A. Perimeter and circumference B. Area formulas for triangles, rectangles, trapezoids, parallelograms and circles. C. Volume and surface area of rectangular prisms, cylinders, cones, pyramids, and spheres D. The use of geometry in one or more ancient civilizations E. Understand and develop basic twocolumn proofs F. Similar triangles and their applications G. Conic sections—graphs and equations H. The focus and directrix of a parabola I. Foci of ellipses and hyperbolas J. Center and radius of a circle from its equation

VII. Trigonometry
A. Trigonometric ratios of sine, cosine, and tangent for right triangles B. Sine, cosine, and tangent for acute angles of a right triangle C. Sine, cosine, and tangent for the special angles (30, 45, 60 degrees) of a right triangle D. Acute angles from inverse trig ratios and their applications E. Use of a scientific calculator to determine sine, cosine, and tangent for any angle

VIII. Graph Theory
A. Konigsberg Bridge Problem B. Graphs and Euler Trails C. Hamilton Circuits D. Networks E. Scheduling

IX. Numeration Systems
A. Place Systems B. Arithmetic in Different Bases C. Prime Numbers and Perfect Numbers D. Fibonacci Numbers and the Golden Ratio

I. General Information
1. Course Title:
Concepts in Mathematics
2. Course Prefix & Number:
MATH 1441
3. Course Credits and Contact Hours:
Credits: 3
Lecture Hours: 3
4. Course Description:
This is a college level math course that demands a fundamental algebra background and familiarity with a calculator. Topics include at least four of the following: geometry, trigonometry, graphs, logic, probability, statistics, finance, numeration systems, and set theory.
5. Placement Tests Required:
Accuplacer (specify test): 
College Level Math 
Score: 
50 
6. Prerequisite Courses:
MATH 1441  Concepts in Mathematics
Applies to all requirements
Accuplacer College Level Math score of 50 or higher, or MATH 1505 or MATH 1506
7. Other Prerequisites
8. Prerequisite (Entry) Skills:
Fundamental algebra background and familiarity with a calculator.
9. Corequisite Courses:
MATH 1441  Concepts in Mathematics
There are no corequisites for this course.
II. Transfer and Articulation
1. Course Equivalency  similar course from other regional institutions:
Name of Institution

Course Number and Title

Credits

St. Cloud State University

MATH 105 Culture of Mathematics

3

Itasca Community College

MATH 1101 Contemporary Mathematics

3

III. Course Purpose
2. MN Transfer Curriculum (General Education) Courses  This course fulfills the following goal area(s) of the MN Transfer Curriculum:
Goal 4 – Mathematical/Logical Reasoning
IV. Learning Outcomes
1. CollegeWide Outcomes
CollegeWide Outcomes/Competencies 
Students will be able to: 
Analyze and follow a sequence of operations 
Explain what constitutes a valid mathematical argument 
Apply abstract ideas to concrete situations 
Clearly express mathematical/logical ideas in writing 
2. Course Specific Outcomes  Students will be able to achieve the following measurable goals upon completion of
the course:
Expected Outcome

MnTC Goal Area

Apply higherorder problemsolving and/or modeling strategies.

4

Clearly express mathematical ideas in writing.

4

Illustrate historical and contemporary applications of mathematical/logical systems.

4

V. Topical Outline
Listed below are major areas of content typically covered in this course.
1. Lecture Sessions
At least four of the following topics will be covered.

I. Logic
A. Statements B. Truth Tables C. Conditional and Biconditional D. Variations of the Conditional and Implications E. Euler Diagrams F. Truth Tables and Validity G. Switching Networks

II. Sets and Counting
A. Cardinal number formulas for union and complement B. Venn diagrams C. DeMorgan’s Laws D. Fundamental Theorem of Counting. E. Permutations F. Combinations G.Determining the correct counting principle for a given situation
H. Intersection, union, complement of sets

III. Probability
A. Understand the history of the development of probability theory. B. Terminology of probability: experiment, sample space, event, outcome, relative frequency, odds. C. Basic rules of probability D. Using counting principles (permutations, combinations) to calculate probabilities E. Expected value F. Conditional probability and the product rule G. Punnett squares H. Independence of events

IV. Statistics
A. Frequency distributions and histograms B. Measures of central tendency for raw data and grouped data C. Standard deviation for a set of raw data and for grouped data D. The standard normal (z) distribution E. Margin of error and level of confidence F. Terminology of statistics: population, sample, data, frequency
distribution, histogram, measures of central tendency, measures of
dispersion, etc.

V. Finance
A. Terminology of finance: principal, simple and compound interest, future value, present value, annuity, amortization, etc. B. Using the compound interest formula C. Credit card finance charges, bank deposits and loans D. Ordinary annuities and annuities due E. Using the simple interest formula F. Payout annuities G. Simple interest amortized loan formula, payment amounts, amortization schedules

VI. Geometry
A. Perimeter and circumference B. Area formulas for triangles, rectangles, trapezoids, parallelograms and circles. C. Volume and surface area of rectangular prisms, cylinders, cones, pyramids, and spheres D. The use of geometry in one or more ancient civilizations E. Understand and develop basic twocolumn proofs F. Similar triangles and their applications G. Conic sections—graphs and equations H. The focus and directrix of a parabola I. Foci of ellipses and hyperbolas J. Center and radius of a circle from its equation

VII. Trigonometry
A. Trigonometric ratios of sine, cosine, and tangent for right triangles B. Sine, cosine, and tangent for acute angles of a right triangle C. Sine, cosine, and tangent for the special angles (30, 45, 60 degrees) of a right triangle D. Acute angles from inverse trig ratios and their applications E. Use of a scientific calculator to determine sine, cosine, and tangent for any angle

VIII. Graph Theory
A. Konigsberg Bridge Problem B. Graphs and Euler Trails C. Hamilton Circuits D. Networks E. Scheduling

IX. Numeration Systems
A. Place Systems B. Arithmetic in Different Bases C. Prime Numbers and Perfect Numbers D. Fibonacci Numbers and the Golden Ratio
