MATH 0024. Modern Business Mathematics

Units: 3
Prerequisite: Two years of high school algebra or MATH D or MATH G with grade(s) of "C" or better, or placement by matriculation assessment process
Hours: 54 lecture
Applications of mathematics in economics and business contexts. Topics include tables and graphs, functions, finance (interest and exponential models), rates of change including applications and optimization, and linear programming. (CSU, UC)

MATH 0024 - Modern Business Mathematics

http://catalog.sierracollege.edu/course-outlines/math-0024/

Catalog Description Prerequisite: Two years of high school algebra or MATH D or MATH G with grade(s) of "C" or better, or placement by matriculation assessment process Hours: 54 lecture Description: Applications of mathematics in economics and business contexts. Topics include tables and graphs, functions, finance (interest and exponential models), rates of change including applications and optimization, and linear programming. (CSU, UC) Course Student Learning Outcomes CSLO #1: Apply rates of change to marginal analysis and business applications. CSLO #2: Logically present clear, complete, accurate, and sufficiently detailed solutions to communicate reasoning and demonstrate the method of solving business problems. CSLO #3: Translate, model, and solve applied business problems utilizing derivatives. CSLO #4: Construct and interpret graphs of polynomial, exponential, logarithmic, and composite functions; solve linear programming problems graphically. Effective Term Fall 2022 Course Type Credit - Degree-applicable Contact Hours 54 Outside of Class Hours 108 Total Student Learning Hours 162 Course Objectives Upon completion of this course, the student will be able to: 1. Analyze formulas, tables, and graphs; 2. Identify and graph linear, quadratic, power, polynomial, exponential, logarithmic and composition functions; 3. Calculate compound interest, present and future values; 4. Apply exponential models in economics; 5. Evaluate rates of change (derivatives) for a variety of elementary functions and apply to marginal analysis; 6. Measure the sensitivity of demand; 7. Find and interpret optimum values related to business applications; 8. Solve linear programming problems by a graphical approach. General Education Information Approved College Associate Degree GE Applicability AA/AS - Comm & Analyt Thinking AA/AS - Mathematical Skills CSU GE Applicability (Recommended-requires CSU approval) CSUGE - B4 Math/Quantitative Reasoning Cal-GETC Applicability (Recommended - Requires External Approval) IGETC Applicability (Recommended-requires CSU/UC approval) Articulation Information CSU Transferable UC Transferable Methods of Evaluation Classroom Discussions Example: After instructor lecture on linear programming, students will work in small groups to create a linear programming problem and then solve it. Grade based on participation. Problem Solving Examinations Example: 1. Calculate the derivative of a rational function using the quotient rule. This problem is graded based on the completeness and correctness of the quotient rule, the algebra used in simplifying, and of the derivative found. 2. Analyze the meaning of the derivative of a profit function. This question is graded based on the correctness of the derivative found, and a clear, concise and correct analysis. Projects Example: 1. Take home project involving research of current interest rates and calculating the amount of time it will take to save up for a major purchase using compound interest formulas. Satisfactory performance measured if students find current data on interest rates and pricing, correctly calculate the results, and communicate their solution mathematically and in writing. Repeatable No Methods of Instruction Lecture/Discussion Distance Learning Lecture: Interactive lecture format to develop the concept of what a function is, and analyze the properties of the different types of functions (linear, quadratic, power, polynomial, exponential, and logarithmic). To help students see the commonalities and differences between each type of function, instructor will incorporate algebraic analysis through equations, visual analysis through graphing, and numerical analysis through evaluation. Students will participate verbally and by working various examples. (Objective 4) In class small group collaborative learning activity focusing on applied business math problems involving economic models, interest, marginal cost. Following an instructor lecture on economic models, students will practice reading problems, interpreting the problems, and developing solution with peers. (Objective 1) Distance Learning In class or online discussion of problems worked by students independently (such as homework problems). For example, students and instructor will discuss methods to evaluate rates of change (derivatives) for a variety of elementary functions, and apply to marginal analysis. (Objective 1) Typical Out of Class Assignments Reading Assignments 1. Read the applied examples on amortization and sinking funds and be prepared to discuss in class. 2. Go online and read about the Credit Card Act of 2009 and be prepared to discuss in class. Writing, Problem Solving or Performance 1. After reading about the Credit Card Act of 2009, create a list of the 5 major changes that you found to be most beneficial to consumers. 2. Solve applied mathematical problems in economics that use exponential models. Example: Assume that on the day you were born, your grandmother put $5000 into an account that grew at a rate of 4.5% compounded continuously. How much money would you have in the account on your 18th birthday? Other (Term projects, research papers, portfolios, etc.) Required Materials Applied Mathematics for the Managerial, Life, and Social Sciences Author: Tan Publisher: Cengage Learning Publication Date: 2016 Text Edition: 7th Classic Textbook?: No OER Link: OER: Mathematics with Applications in the Management, Natural and Social Sciences Author: Lial, Hungerford, Holcomb, Mullins Publisher: Pearson Publication Date: 2019 Text Edition: 12th Classic Textbook?: No OER Link: OER: Other materials and-or supplies required of students that contribute to the cost of the course.

BI 0024 - Fundamentals of Construction Documents and Estimating

http://catalog.sierracollege.edu/course-outlines/bi-0024/

Catalog Description Formerly known as CET 24 Hours: 54 lecture Description: Establishes a vocabulary and understanding of construction related documents including the symbols and detail views of building plans. Cost estimating to include material and labor cost calculations, specifications, problem solving, and bid preparations. (CSU) Course Student Learning Outcomes CSLO #1: Interpret residential drawings to produce material takeoffs. CSLO #2: Identify the locations of specific information on construction documents. CSLO #3: Estimate labor costs and determine profit margins. Effective Term Spring 2021 Course Type Credit - Degree-applicable Contact Hours 54 Outside of Class Hours 108 Total Student Learning Hours 162 Course Objectives 1. Identify the profession in the planning, design and preparation of construction documents. 2. Apply technical math skills while performing construction material takeoffs. 3. Read architectural residential drawings to produce material takeoffs. 4. Explain what is included in a Scope of Work. 5. Evaluate subcontractor bids for accuracy and completeness. 6. Define plan views. 7. Interpret a topographic map and site plan. 8. Explain how construction documents originate. 9. Identify the locations of specific information on construction documents. 10. List the different types of estimating. 11. Differentiate material estimating formulas. 12. Estimate labor costs and determine profit margins. General Education Information Approved College Associate Degree GE Applicability CSU GE Applicability (Recommended-requires CSU approval) Cal-GETC Applicability (Recommended - Requires External Approval) IGETC Applicability (Recommended-requires CSU/UC approval) Articulation Information CSU Transferable Methods of Evaluation Projects Example: Major student projects will be graded according to completeness, adherence to building codes, and industry standards. The grading is determined by a grading rubric. Reports Example: Students will create reports listing the sequence of the design process and professionals involved in specific projects. The grading is determined by a grading rubric. Repeatable No Methods of Instruction Lecture/Discussion Distance Learning Lecture: Instructor facilitates classroom discussion on how to evaluate subcontractor bids. Students will produce a bid proposal from plans and specifications. (Lecture Objective 5) Instructor facilitates classroom discussion on the impact of absenteeism on profit margins. Students will analyze labor statistics and costs in various geographic locations. (Lecture Objective 12) Distance Learning Students in online classes participate, individually and in groups, in discussion boards and respond to weekly assignments via the Learning Management System. The instructor will provide documented material (including videos) explaining or exploring the course content and provide individual feedback on all assignments. The instructor will lecture and provide resources regarding the preparation of construction documents. Students will then research the professions that interact with the planning, design, and creation of construction documents and blueprints. (Lecture Objective 1) Typical Out of Class Assignments Reading Assignments 1. Read assigned pages in text book and be prepared to discuss three different methods of types of takeoffs in class. 2. Research, via the web, the increase in residential construction cost over the past 3 years and prepare a report to be presented in class. Writing, Problem Solving or Performance 1. Prepare material takeoffs for various construction phases. 2. Prepare a complete construction estimate. Other (Term projects, research papers, portfolios, etc.) Required Materials Fundamentals of Construction Estimating Author: David Pratt Publisher: Cengage Learning Publication Date: 2019 Text Edition: 4th Classic Textbook?: No OER Link: OER: Other materials and-or supplies required of students that contribute to the cost of the course.