APPENDIX F
Listed below are the courses at Pellissippi which has the pre-requisite of MATH 1530, MATH
1910, MATH 1920 and its aligned math student learning outcomes.
Students at Pellissippi in a Business Transfer path attending a 4-year institution will have to take
additional Business courses which require college-level mathematics. Math requirements vary,
depending on the receiving institution. Many students will have to complete the path of MATH
1130, MATH 1630, MATH 1830, and MATH 2050 (or MATH 1530) in order to be accepted
into the University of Tennessee Business School.
Pellissippi students pursuing a career in Engineering, Computer Science, General Science and
Nursing fields are listed, with the specific student learning objectives in the mathematics course
that supports and is required for success in the application fields of study.
Business and Finance:
FIN 2000
MATH 1530
Math Student Learning Outcomes
MATH 1530
1. Construct a frequency distribution
2. Graph a frequency distribution as a histogram
3. Find the mean, median, and mode of raw data scores.
4. Find the variance, standard deviation and range of raw data scores.
5. Find the mean and standard deviation of a frequency distribution.
6. Determine the mean, variance, and standard deviation of a probability
distribution.
9. Apply the addition and multiplication rules.
10. Define and use the rules of complementary events.
18. Determine linear correlation and the linear regression equation.
19. Determine when it is reasonable to use a regression equation for prediction.
Engineering:
ECE 2010
MATH 1920
Math Student Learning Outcomes
MATH 1920
1. Integrate exponential, trigonometric, inverse trigonometric, natural and
general logarithmic functions.
2. Integrate by parts and by substitution.
3. Integrate trigonometric integrals using identities.
4. Integrate rational functions by partial fraction decomposition.
5. Use a table of integrals to evaluate an integral.
9. Model with differential equations.
ENS 1510
MATH 1910
ENS 1520
MATH 1920
ENS 2110
MATH 1920
ENS 2310
MATH 1920
MET 1040
MATH 1710
MATH 1910
1. Determine what a function is and work comfortably with functional notation.
2. Evaluate limits and derivatives of algebraic and transcendental functions using
analytic, numerical and graphing techniques. Evaluate the derivative of a
function using the (limit) definition.
3. Graph a function using the concepts of symmetry, domain, shifting and
stretching, along with information gathered from limits, the function's
derivative and the aid of a graphing calculator and/or computer software.
4. Recognize a continuous function. Classify the different types of
discontinuities using analytical and graphical means.
5. Apply derivatives to solve problems such as distance - velocity - acceleration,
related rate and optimization problems.
6. Read and interpret graphs, limits and derivatives which are used in applied
settings and communicate that analysis in writing.
7. Work with technology and special projects involving real world data which
enhances the conceptual understanding and usefulness of mathematics.
MATH 1920
1. Integrate exponential, trigonometric, inverse trigonometric, natural and
general logarithmic functions.
3. Integrate trigonometric integrals using identities.
5. Use a table of integrals to evaluate an integral.
MATH 1920
1. Integrate exponential, trigonometric, inverse trigonometric, natural and
general logarithmic functions.
3. Integrate trigonometric integrals using identities.
5. Use a table of integrals to evaluate an integral.
MATH 1920
1. Integrate exponential, trigonometric, inverse trigonometric, natural and
general logarithmic functions.
3. Integrate trigonometric integrals using identities.
5. Use a table of integrals to evaluate an integral.
6. Integrate indeterminate forms and improper integral.
10. Graph parametric and polar equations.
MATH 1710
1. Compute areas and volumes of simple geometric figures and solids.
2. Solve elementary algebraic equations and literal formulas.
3. Translate verbal situations into an algebraic or trigonometric equation by
using appropriate problem-solving techniques.
4. Interpret, graph, and manipulate polynomial and rational functions.
5. Solve equations algebraically, numerically and graphically.
6. Define and use the six trigonometric ratios.
7. Apply the trigonometric ratios to right triangle problems from geometry and
technology.
8. Model data mathematically.
9. Solve fractional and quadratic equations and applications.
Computer Science:
CISP 1010
MATH 1730
CSIT 1300
MATH 1910
Math Student Learning Outcomes
MATH 1730
1. Compute areas and volumes of simple geometric figures and solids.
2. Solve elementary algebraic equations and literal formulas.
3. Translate verbal situations into an algebraic or trigonometric equation by
using appropriate problem-solving techniques.
5. Solve equations algebraically, numerically and graphically.
7. Apply the trigonometric ratios to right triangle problems from geometry and
technology.
8. Model data mathematically.
9. Solve fractional and quadratic equations and applications.
10. Determine trigonometric and inverse trigonometric functional values for any
angle measured in degrees and radians.
14. Sketch sine and cosine graphs, noting the amplitude, period, and horizontal
displacement.
15. Simplify rational exponential expressions and convert to radical equivalent.
16. Convert from exponential to logarithmic form and vice versa.
17. Solve exponential and logarithmic equations and work problems.
21. Prove trigonometric identities by using the fundamental and double-angle
identities.
22. Solve conditional trigonometric equations by using identities.
MATH 1910
1. Determine what a function is and work comfortably with functional notation.
2. Evaluate limits and derivatives of algebraic and transcendental functions using
analytic, numerical and graphing techniques. Evaluate the derivative of a
function using the (limit) definition.
3. Graph a function using the concepts of symmetry, domain, shifting and
stretching, along with information gathered from limits, the function's
derivative and the aid of a graphing calculator and/or computer software.
4. Recognize a continuous function. Classify the different types of
discontinuities using analytical and graphical means.
5. Apply derivatives to solve problems such as distance - velocity - acceleration,
related rate and optimization problems.
6. Read and interpret graphs, limits and derivatives which are used in applied
settings and communicate that analysis in writing.
7. Work with technology and special projects involving real world data which
enhances the conceptual understanding and usefulness of mathematics.
Science:
CHEM 1010
MATH 1030
Math Student Learning Outcomes
MATH 1030
1. Identify polynomials and classify them by degree.
2. Add, subtract, multiply and divide polynomials.
3. Analyze a polynomial and choose the appropriate law of exponents to
simplify the expression.
4. Convert numbers in scientific notation to standard notation.
5. Convert numbers in standard notation to scientific notation.
6. Use scientific notation to model and find solutions for appropriate
applications.
10. Add, subtract, multiply and divide rational expressions and state their
answers in simplest form.
12. Solve rational equations.
13. Create rational equations to describe applications, solve, and check
solution(s) for validity.
16. Solve equations involving radicals.
CHEM 1110
MATH
1710/1730
MATH 1710/1730
1. Compute areas and volumes of simple geometric figures and solids.
3. Translate verbal situations into an algebraic or trigonometric equation by
using appropriate problem-solving techniques.
5. Solve equations algebraically, numerically and graphically.
PHYS 1310
MATH 1910
MATH 1910
1. Determine what a function is and work comfortably with functional notation.
2. Evaluate limits and derivatives of algebraic and transcendental functions using
analytic, numerical and graphing techniques. Evaluate the derivative of a
function using the (limit) definition.
5. Apply derivatives to solve problems such as distance - velocity - acceleration,
related rate and optimization problems.
6. Read and interpret graphs, limits and derivatives which are used in applied
settings and communicate that analysis in writing.
7. Work with technology and special projects involving real world data which
enhances the conceptual understanding and usefulness of mathematics.
PHYS 1320
MATH 1920
MATH 1920
1. Integrate exponential, trigonometric, inverse trigonometric, natural and
general logarithmic functions.
2. Integrate by parts and by substitution.
3. Integrate trigonometric integrals using identities.
4. Integrate rational functions by partial fraction decomposition.
5. Use a table of integrals to evaluate an integral.
8. Give power series representation of a function.
PHYS 2010
MATH 1730
MATH 1730
1. Compute areas and volumes of simple geometric figures and solids.
2. Solve elementary algebraic equations and literal formulas.
3. Translate verbal situations into an algebraic or trigonometric equation by
using appropriate problem-solving techniques.
4. Interpret, graph, and manipulate polynomial and rational functions.
5. Solve equations algebraically, numerically and graphically.
6. Define and use the six trigonometric ratios.
7. Apply the trigonometric ratios to right triangle problems from geometry and
technology.
8. Model data mathematically.
9. Solve fractional and quadratic equations and applications.
10. Determine trigonometric and inverse trigonometric functional values for any
angle measured in degrees and radians.
11. Apply radian measure to geometry and technology.
12. Add vectors geometrically and algebraically.
13. Use law of sines and cosines to solve oblique triangles.
14. Sketch sine and cosine graphs, noting the amplitude, period, and horizontal
displacement.
15. Simplify rational exponential expressions and convert to radical equivalent.
16. Convert from exponential to logarithmic form and vice versa.
17. Solve exponential and logarithmic equations and work problems.
18. Convert between polar and rectangular forms of complex numbers.
19. Solve equations involving complex numbers.
20. Solve radical equations.
21. Prove trigonometric identities by using the fundamental and double-angle
identities.
22. Solve conditional trigonometric equations by using identities.
PHYS 2110
MATH 1920
MATH 1920
1. Integrate exponential, trigonometric, inverse trigonometric, natural and
general logarithmic functions.
2. Integrate by parts and by substitution.
3. Integrate trigonometric integrals using identities.
4. Integrate rational functions by partial fraction decomposition.
5. Use a table of integrals to evaluate an integral.
8. Give power series representation of a function.
Nursing: The nursing program at PSCC consists of 5 courses taken over 5 semesters. The math
prerequisites for entering the Nursing Program are MATH 1130 or MATH 1530. Mathematics
skills from these courses are used in the calculation of dosages, measurement of treatment
effectiveness evaluation of data in critiquing and improving clinical decisions, and identification
of trends in historical and current treatment.
NURS 1150
MATH 1130
MATH 1530
NURS 1160
MATH 1130
MATH 1530
Nursing Program Outcomes and Student Learning Outcomes
Utilize multiple sources of information, which include computer-based data,
to critique and improve clinical decisions.
MATH 1130 Construct appropriate mathematical models to solve applications.
VI.1-6
MATH 1530 Analyze a given set of data and accurately describe the data by
interpreting the significance of the mean, median, mode, and standard deviation.
Display beginning mastery of content by defining and discussing principles
of medication administration and calculating medications to be
administered by oral, parenteral, topical, and instillation routes. L, N
MATH 1130 Construct appropriate mathematical models to solve applications.
VI.1-6
MATH 1130 Solve and check the solutions of linear, absolute value, piecewise,
quadratic, polynomial, rational, radical, exponential and logarithmic equations
analytically, numerically and graphically. VI.1-6
Increase the ability of the student to identify and contrast nursing
assessment findings, care and evaluation of patients with bacterial, viral,
and fungal respiratory illnesses. I-IV, VII, X
MATH 1530 Analyze a given set of data and accurately describe the data by
interpreting the significance of the mean, median, mode, and standard deviation.
Selects information technologies when assessing, planning, implementing,
and evaluating care to individuals across the lifespan. A,B,C,E
MATH 1530 Analyze a given set of data and accurately describe the data by
interpreting the significance of the mean, median, mode, and standard deviation.
NURS 2150
MATH 1130
MATH 1530
Display beginning mastery of content by calculating medication dosages and
administering medications by oral, parenteral, topical, and instillation
routes within a health care setting. D
MATH 1130 Construct appropriate mathematical models to solve applications.
VI.1-6
MATH 1130 Solve and check the solutions of linear, absolute value, piecewise,
quadratic, polynomial, rational, radical, exponential and logarithmic equations
analytically, numerically and graphically. VI.1-6
Integrate informatics and technology when assessing, planning,
implementing, and evaluating care to individuals across the lifespan. A,B,C,
E,F,G
MATH 1530 Analyze a given set of data and accurately describe the data by
interpreting the significance of the mean, median, mode, and standard deviation.
NURS 2160
MATH 1130
MATH 1530
Display mastery of content by calculating medication dosages and
administering medications safely and by timely oral, parenteral, topical,
and instillation routes within a health care setting. D, F,G
MATH 1130 Construct appropriate mathematical models to solve applications.
VI.1-6
MATH 1130 Solve and check the solutions of linear, absolute value, piecewise,
quadratic, polynomial, rational, radical, exponential and logarithmic equations
analytically, numerically and graphically. VI.1-6
Identify historical movements in maternal-newborn health and the current
role of the maternal-newborn nurse.
MATH 1530 Analyze a given set of data and accurately describe the data by
interpreting the significance of the mean, median, mode, and standard deviation.
Discuss medications used for the treatment of neurological/neurosensory,
multisystem organ failure, hematological/oncologic/immunological,
maternal and neonatal disorders, such as generic/brand name,
classification, and mechanism of action, side effects, normal dosage, and
nursing implications. I-V, VIII-X
MATH 1130 Construct appropriate mathematical models to solve applications.
VI.1-6
MATH 1130 Solve and check the solutions of linear, absolute value, piecewise,
quadratic, polynomial, rational, radical, exponential and logarithmic equations
analytically, numerically and graphically. VI.1-6
Integrate and evaluate information technologies when assessing, planning,
implementing, and evaluating care to individuals across the lifespan.
A,B,C,E
MATH 1530 Analyze a given set of data and accurately describe the data by
interpreting the significance of the mean, median, mode, and standard deviation.
NURS 2170
MATH 1130
MATH 1530
Display mastery of content by calculating medication dosages and
administering medications by oral, parenteral, topical, and instillation
routes within a health care setting. D
MATH 1130 Construct appropriate mathematical models to solve applications.
VI.1-6
MATH 1130 Solve and check the solutions of linear, absolute value, piecewise,
quadratic, polynomial, rational, radical, exponential and logarithmic equations
analytically, numerically and graphically. VI.1-6
Evaluate the strategies used for fiscal and human resources that contribute
to the organization’s ability to deliver quality cost-effective patient-centered
care. A, C, F
MATH 1530 Analyze a given set of data and accurately describe the data by
interpreting the significance of the mean, median, mode, and standard deviation.