Hawaii Pacific University
MATH 1150 Pre-Calculus I and II Accelerated Section ____
Semester and year, meeting times
Instructor: Name, contact information and other relevant information about the instructor.
Course description: This course is designed for well-qualified students who are prepared to complete
the Pre-Calculus sequence in one term. The course includes all the topics covered in Pre-Calculus I,
Math 1130, and Pre-Calculus II, Math 1140. Topics will include: polynomial and rational functions,
including complex numbers; exponential and logarithmic functions; trigonometric functions and their
graphs; systems of equations and inequalities; transcendental functions; conic sections; polar
coordinates; parametric equations; sequences and series; and an introduction to calculus. Heavy
emphasis will be placed on problem-solving skills and the application of procedures to real-world data.
Course prerequisite: A grade of A in MATH 1105 (or placement into the course)
General Education Requirement: This course is classified under the Research and Epistemology Theme
and meets the requirement for a course in Research & Epistemology B: Numeracy and Quantitative
Reasoning.
General Education Student Learning Outcomes and the Five Themes: HPU’s general education
curriculum is focused around five themes. This course emphasizes the Research and Epistemology
Theme and provides students with opportunities to achieve the following related general education
student learning outcomes.
Students will understand the concept of epistemology, i.e., that there are various systems of
gather/organizing/analyzing/evaluating in the process of constructing knowledge as well as
multiple ways to solve a problem. Students will study applications of mathematical concepts
and determine what information is relevant to the solution of real world problems. They will
organize the mathematical data and use it in a logical sequence of problem-solving steps.
Various methods of problem solving are presented in the textbook. Students will build on
what they learned in the prerequisite course to solve problems choosing from a variety of
approaches including numerical, symbolic, graphical and verbal representations of a function.
Numerous historical examples of how mathematical knowledge has been constructed over
the ages are also included throughout the textbook.
Students will seek and achieve understanding of numerical data. Throughout the problemsolving process students will need to ask themselves the question, “Does what I am doing
make sense mathematically?” In the lessons provided, we cover multiple techniques that
provide students with the ability to interpret and solve real-world problems using a variety of
problem solving techniques. Students learn that trigonometry is much more than a series of
functions, identities, and angles. As trigonometry evolved throughout the ages it was used by
surveyors, navigators and engineers. Present day applications extend to ocean tides, the rise
and fall of food supplies in certain ecologies, brain wave patterns, and many other
phenomena.
Students will recognize the multiple interpretations numerical data permit and
ways that they can be manipulated. This course will help students evaluate the validity of
certain claims that have a numerical component. Students will have opportunities to estimate
and calculate solutions to mathematical problems, and compare their answers with real-life
data using textbook, library and Internet sources. Students will discuss different factors that
may affect the outcome of mathematical problem solving, various methods for presenting
numerical data, and the multiple interpretations numerical data permit.
Students will utilize methods and technologies appropriate to the discipline to
investigate research questions, generate predictions, test hypotheses and/or solve
problems. In the lessons provided, problem-solving techniques are presented that employ
the use of a graphing calculator. Calculators are utilized to investigate the many ways of
presenting a problem and to explore different solution methodologies. Students will use
verbal (written or oral), numerical (data table), symbolic (mathematical formula), and
graphical representations of functions to solve problems. Students will further develop their
mathematical and analytical skills to investigate numerical data, generate predictions, test
hypotheses and/or solve problems. One such project involves fractals and finance—where
fractal curves are used to analyze the stock market. In another example, students will use
analytic geometry to determine the aphelion (greatest distance) and perihelion (shortest
distance) between the Sun and a planet, and use this information to find the point of
intersection of two planet orbits, and predict if they think the planets will ever collide.
Note: Purple text shows places where specific course information must be filled in. Red text contains
explanatory notes to the instructor which should be deleted before using the syllabus. Blue explanations
above should be rephrased by the individual instructor if necessary to reflect the specific approach in that
section of the course. Course specific outcomes below are an example and may also be rephrased or
modified by the instructor.
Student Learning Outcomes for MATH 1150 Pre-Calculus I and II Accelerated
Upon the successful completion of this course, students should be able to:
1. Solve problems using equations and inequalities.
2. Create and utilize linear functions from real-world data sources.
3. Apply quadratic equations and inequalities to problem solving.
4. Utilize polynomial and rational functions.
5. Recognize and solve problems involving exponential and log functions.
6. Understand the basic properties of trigonometric functions and their applications.
7. Solve problems using trigonometric equations and inequalities.
8. Apply parametric equations and inequalities to problem solving.
9. Utilize polar coordinates and vectors in problem solving.
10. Solve linear systems of equations and inequalities using various methods.
For the rest of these required syllabus items see the details in the faculty handbook. Delete this note
once the syllabus is complete. For online courses there are some additional requirements given at this
link.
Texts List textbooks with ISBN’s and include this language as well
All textbook information (pricing, ISBN #, and e-books) for this course can be found on the HPU
Bookstore website: hpu.edu/bookstore.
If you have any questions regarding textbooks, please contact the HPU Bookstore at:
Phone:
808-544-9347
Or e-mail:
jyokota@hpu.edu
mmiyahira@hpu.edu
Assignments and mode of evaluation
Summary of important dates and deadlines (if the schedule is a separate document and due dates are
not given with the description of the assignments).
Class rules and policies (including regarding attendance, late work and academic dishonesty)
Schedule of events (may be attached separately)