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: 
35 
Other (specify test): 
Elementary Algebra 
Score: 
76

6. Prerequisite Courses:
MATH 1441  Concepts in Mathematics
Applies to all requirements
Accuplacer College Level Math score of 50 or higher, or Math 0810 Math Pathways, or Math 0820 Intermediate Algebra, or MATH 1520 Intro to College Algebra
7. Other Prerequisites
Math ACT score of 20
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:
St. Cloud State University, MATH 105 Culture of Mathematics, 3 credits
Itasca Community College, MATH 1101 Contemporary Mathematics, 3 credits
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 
Express mathematical/logical ideas clearly in writing. 
2. Course Specific Outcomes  Students will be able to achieve the following measurable goals upon completion of
the course:
 Express mathematical ideas clearly in writing (MnTC Goal 4);
 Apply logic in analyzing arguments (MnTC Goal 4);
 Apply higherorder problemsolving strategies (MnTC Goal 4);
 Solve applied financial problems (MnTC Goal 4);
 Solve realworld problems that can be modeled with permutations and combinations (MnTC Goal 4);
 Calculate measures of center and measures of dispersion (MnTC Goal 4);
 Apply the rules of probability in calculating expected values and conditional probabilities (MnTC Goal 4);
 Solve application problems using systems of linear equations and inequalities (MnTC Goal 4);
 Solve realworld problems by calculating perimeters, areas, surface areas, and volumes (MnTC Goal 4); and
 Solve application problems that can be modeled by right triangles and solved using right triangle trigonometry (MnTC Goal 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.
 Logic
 Statements
 Truth tables
 Conditional and biconditional
 Variations of the conditional and implications
 Euler diagrams
 Truth tables and validity
 Switching networks
 Sets and Counting
 Cardinal number formulas for union and complement
 Venn diagrams
 DeMorgan’s laws
 Fundamental theorem of counting
 Permutations
 Combinations
 Determining the correct counting principle for a given situation
 Intersection, union, complement of sets
 Probability
 History of the development of probability theory
 Terminology of probability: experiment, sample space, event, outcome, relative frequency, odds
 Basic rules of probability
 Using counting principles (permutations, combinations) to calculate probabilities
 Expected value
 Conditional probability and the product rule
 Punnett squares
 Independence of events
 Statistics
 Frequency distributions and histograms
 Measures of central tendency for raw data and grouped data
 Standard deviation for a set of raw data and for grouped data
 The standard normal (z) distribution
 Margin of error and level of confidence
 Terminology of statistics: population, sample, data, frequency distribution, histogram, measures of central tendency, measures of dispersion, etc.
 Finance
 Terminology of finance: principal, simple and compound interest, future value, present value, annuity, amortization, etc.
 Using the compound interest formula
 Credit card finance charges, bank deposits, and loans
 Ordinary annuities and annuities due
 Using the simple interest formula
 Payout annuities
 Simple interest amortized loan formula, payment amounts, amortization schedules
 Geometry
 Perimeter and circumference
 Area formulas for triangles, rectangles, trapezoids, parallelograms, and circles
 Volume and surface area of rectangular prisms, cylinders, cones, pyramids, and spheres
 The use of geometry in one or more ancient civilizations
 Understand and develop basic twocolumn proofs
 Similar triangles and their applications
 Conic sections—graphs and equations
 The focus and directrix of a parabola
 Foci of ellipses and hyperbolas
 Center and radius of a circle from its equation
 Trigonometry
 Trigonometric ratios of sine, cosine, and tangent for right triangles
 Sine, cosine, and tangent for acute angles of a right triangle
 Sine, cosine, and tangent for the special angles (30, 45, 60 degrees) of a right triangle
 Acute angles from inverse trig ratios and their applications
 Use of a scientific calculator to determine sine, cosine, and tangent for any angle
 Graph theory
 Konigsberg Bridge problem
 Graphs and Euler trails
 Hamilton circuits
 Networks
 Scheduling
 Numeration systems
 Place systems
 Arithmetic in different bases
 Prime numbers and perfect numbers
 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: 
35 
Other (specify test): 
Elementary Algebra 
Score: 
76

6. Prerequisite Courses:
MATH 1441  Concepts in Mathematics
Applies to all requirements
Accuplacer College Level Math score of 50 or higher, or Math 0810 Math Pathways, or Math 0820 Intermediate Algebra, or MATH 1520 Intro to College Algebra
7. Other Prerequisites
Math ACT score of 20
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:
St. Cloud State University, MATH 105 Culture of Mathematics, 3 credits
Itasca Community College, MATH 1101 Contemporary Mathematics, 3 credits
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 
Express mathematical/logical ideas clearly in writing. 
2. Course Specific Outcomes  Students will be able to achieve the following measurable goals upon completion of
the course:
 Express mathematical ideas clearly in writing (MnTC Goal 4);
 Apply logic in analyzing arguments (MnTC Goal 4);
 Apply higherorder problemsolving strategies (MnTC Goal 4);
 Solve applied financial problems (MnTC Goal 4);
 Solve realworld problems that can be modeled with permutations and combinations (MnTC Goal 4);
 Calculate measures of center and measures of dispersion (MnTC Goal 4);
 Apply the rules of probability in calculating expected values and conditional probabilities (MnTC Goal 4);
 Solve application problems using systems of linear equations and inequalities (MnTC Goal 4);
 Solve realworld problems by calculating perimeters, areas, surface areas, and volumes (MnTC Goal 4); and
 Solve application problems that can be modeled by right triangles and solved using right triangle trigonometry (MnTC Goal 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.
 Logic
 Statements
 Truth tables
 Conditional and biconditional
 Variations of the conditional and implications
 Euler diagrams
 Truth tables and validity
 Switching networks
 Sets and Counting
 Cardinal number formulas for union and complement
 Venn diagrams
 DeMorgan’s laws
 Fundamental theorem of counting
 Permutations
 Combinations
 Determining the correct counting principle for a given situation
 Intersection, union, complement of sets
 Probability
 History of the development of probability theory
 Terminology of probability: experiment, sample space, event, outcome, relative frequency, odds
 Basic rules of probability
 Using counting principles (permutations, combinations) to calculate probabilities
 Expected value
 Conditional probability and the product rule
 Punnett squares
 Independence of events
 Statistics
 Frequency distributions and histograms
 Measures of central tendency for raw data and grouped data
 Standard deviation for a set of raw data and for grouped data
 The standard normal (z) distribution
 Margin of error and level of confidence
 Terminology of statistics: population, sample, data, frequency distribution, histogram, measures of central tendency, measures of dispersion, etc.
 Finance
 Terminology of finance: principal, simple and compound interest, future value, present value, annuity, amortization, etc.
 Using the compound interest formula
 Credit card finance charges, bank deposits, and loans
 Ordinary annuities and annuities due
 Using the simple interest formula
 Payout annuities
 Simple interest amortized loan formula, payment amounts, amortization schedules
 Geometry
 Perimeter and circumference
 Area formulas for triangles, rectangles, trapezoids, parallelograms, and circles
 Volume and surface area of rectangular prisms, cylinders, cones, pyramids, and spheres
 The use of geometry in one or more ancient civilizations
 Understand and develop basic twocolumn proofs
 Similar triangles and their applications
 Conic sections—graphs and equations
 The focus and directrix of a parabola
 Foci of ellipses and hyperbolas
 Center and radius of a circle from its equation
 Trigonometry
 Trigonometric ratios of sine, cosine, and tangent for right triangles
 Sine, cosine, and tangent for acute angles of a right triangle
 Sine, cosine, and tangent for the special angles (30, 45, 60 degrees) of a right triangle
 Acute angles from inverse trig ratios and their applications
 Use of a scientific calculator to determine sine, cosine, and tangent for any angle
 Graph theory
 Konigsberg Bridge problem
 Graphs and Euler trails
 Hamilton circuits
 Networks
 Scheduling
 Numeration systems
 Place systems
 Arithmetic in different bases
 Prime numbers and perfect numbers
 Fibonacci numbers and the Golden Ratio