Math - UPI Study, Inc.
Organization
Descriptions and credit recommendations for all evaluated learning experiences
Varies (self-study; self-paced).
March 2021 - Present.
Upon successful completion of the course, students will be able to: master fundamental mathematical concepts, such as percentages, fractions, decimals, and basic operations, and apply these to real-world business problems, including discount, interest, and tax calculations; analyze and interpret business data using measures of central tendency and dispersion, and solve algebraic problems, including linear and quadratic equations, for business applications; apply advanced financial concepts like annuities, present and future values, and financial ratios for sound financial decision-making; utilize statistical methods in business, mastering standard deviation, average identification, and normal distribution analysis; and conduct analysis of various investment vehicles, applying mathematical skills to business scenarios such as property tax computation and currency conversion.
The course is self-paced. Instruction is delivered through online video and text lessons. Students are assessed through quizzes, assignments and a proctored final exam. Major topics include percentages; linear equations and inequalities; graphing and evaluating equations and functions; quadratic equations and functions; probability and statistics for business; depreciation and salvage values; interest and purchases; Math for financial analysis; Business Math applications; and money and consumer Math.
In the lower division baccalaureate/associate degree category, 3 semester hours in Mathematics, Economics, International Business, Finance, Finance and Investment, Accounting, Management, Human Resources, Hospitality Management, Management Information Systems, Marketing, Education, or Health Services (1/24).
Varies (self-study, self-paced).
March 2021 - Present.
Upon the successful completion of this course, students will be able to: apply calculus concepts, including functions, graphing techniques, and composition to accurately interpret and graph inverse functions; analyze polynomial, exponential, and logarithmic functions, with a focus on graphical interpretations and practical applications in various fields; evaluate continuity within functions by identifying continuous and discontinuous points and apply the Intermediate Value Theorem in problem-solving contexts; solve problems involving vectors, from definitions to practical applications in vector calculus to develop a holistic comprehension of this mathematical domain; and solve differential equations to model dynamic systems across diverse disciplines and apply problem-solving skills to complex real-world scenarios.
The course is self-paced. Instruction is delivered through online video and text lessons. Students are assessed through quizzes, assignments and a proctored final exam. Major topics include fundamentals of graphing and functions; understanding continuity in functions; introduction to vector analysis; analytical Geometry and trigonometric principles; advanced techniques in calculator; utilization advanced concepts in limit analysis; advanced concepts in rate analysis; advanced techniques in Calculus: derivatives and their applications; advanced graphical analysis and L'Hôpital's Theorem; advanced applications of Calculus; advanced techniques in series analysis; advanced techniques in Calculus: integration and applications; advanced techniques in integral; Calculus advanced applications of integration; and advanced topics in differential equations.
In the upper division baccalaureate degree category, 4 semester hours in Calculus, Mathematics, Computer Science, Economics, or as a general education math elective (5/24).
Varies (self-study, self-paced).
March 2021 - Present.
Upon the successful completion of this course, students will be able to: apply discrete mathematical concepts essential for advanced mathematical reasoning and problem-solving; construct logical proofs, including identifying fallacies, manipulating logical connectors, and interpreting conditional statements; apply set theory, functions, sequences, and series to solve counting problems and analyze probabilistic scenarios; solve recursive solutions to advanced counting problems and combinatorial scenarios, utilizing techniques such as generating functions and the inclusion-exclusion principle; evaluate core principles in graph theory, including graph properties, algorithms, and their practical applications in computer science and engineering; and design and optimize circuits in digital electronics and computer science using tree structures, matrices, and Boolean Algebra.
The course is self-paced. Instruction is delivered through online video and text lessons. Students are assessed through quizzes, assignments and a proctored final exam. Major topics include fundamentals of mathematical logic and proof techniques; fundamentals of sets and functions in discrete Mathematics; sequences, series, and mathematical induction; counting principles and combinatorial analysis; discrete probability and expected values; binomial probability analysis; recursive methods and advanced counting techniques; fundamentals of graph theory; fundamentals of trees in discrete Mathematics; fundamentals of matrices in discrete Mathematics; and Boolean algebra and logic circuits.
In the lower division baccalaureate/associate degree category OR in the upper division baccalaureate degree category, 4 semester hours in Calculus or Mathematics (5/24).
Varies (self-study, self-paced).
March 2021 - Present.
Upon successful completion of the course, students will be able to: acquire essential knowledge and skills for strategic decision-making and risk analysis in the business field, emphasizing the use of quantitative methods; develop proficiency in key quantitative tools, including decision trees, payback analysis, and simulations, for effective managerial decision-making; gain a comprehensive understanding of the quantitative approach to decision-making, focusing on its advantages, objectives, and application under conditions of certainty, risk, and uncertainty; master business risk management through in-depth analysis and the application of risk management strategies, integrating concepts like probability distributions and Monte Carlo simulation; and prepare for data-driven, strategic decision-making, equipping students to navigate the challenges of today's dynamic business environment.
The course is self-paced, and instruction is delivered through online video and text lessons. Students are assessed through quizzes, assignments and a proctored final exam. Major topics include strategic decision-making and risk analysis; simulation techniques in quantitative analysis; inventory management models; waiting line models and queueing theory; decision analysis for business; project planning and management; integer linear programming; linear programming; sensitivity analysis in business; linear programming applications; and distribution and network models.
In the lower division baccalaureate/associate degree category, 3 semester hours in Mathematics, Computer Science, Economics, Actuarial Science, Statistics, International Business, Finance, Finance and Investment, Management, Computational Finance, Financial Engineering or Data Science (1/24).
Varies (self-study, self-paced).
March 2021 - Present.
Upon the successful completion of this course, students will be able to: define limits and continuity and apply limit notation in various contexts; estimate limit values using graphical, numerical, and algebraic methods; analyze functions to determine limit behavior, types of discontinuities, and asymptotes; apply differentiation rules to find derivatives of basic functions and compositions; solve practical problems involving rates of change, optimization, and related rates; understand the fundamental theorem of calculus and apply integration techniques to find areas, volumes, and accumulation functions; solve differential equations, including initial value problems and growth models; utilize parametric equations, polar coordinates, and vector-valued functions in modeling motion and other contexts; and analyze sequences and series, determine convergence, and represent functions as power series.
The course is self-paced. Instruction is delivered through online video and text lessons. Students are assessed through quizzes, assignments and a proctored final exam. Major topics include fundamentals of graphing; fundamentals of functions; function limits; continuity of functions; mastering exponentials and logarithms; mastering exponents and polynomials; advanced functions - parametric, polar, and vector; derivatives: foundational concepts; derivatives at specific points; understanding the derivative as a function; higher-order derivatives; applications of derivatives; calculating derivatives; characteristics of definite integrals; integral applications; applying the fundamental theorem of calculus; mastering integration methods; estimating definite integrals; exploring sequences and series; constant series; and expansion of functions with Taylor Series.
In the lower division baccalaureate/associate degree category OR in the upper division baccalaureate degree category, 4 semester hours in Calculus, Mathematics, or Computer Science (5/24).
Varies (self-study; self-paced).
March 2021 - Present.
Upon successful completion of the course, students will be able to: master key statistical concepts, including descriptive and inferential statistics, probability distributions, measures of central tendency, and dispersion, while differentiating between data types for appropriate statistical treatments; analyze, interpret, and visualize business data using statistical software like Excel, performing accurate and efficient calculations for data manipulation and graph/chart creation; apply statistical methods to real-world business scenarios, using data-driven insights to inform and optimize business strategies, operational efficiencies, and market research; critically assess the quality and reliability of data sources, identify potential biases in statistical analysis, and understand their impact on business decision-making; present statistical findings clearly and concisely, suitable for various audiences, including writing reports and giving presentations to effectively communicate statistical analyses; and hone problem-solving abilities using statistical methods to address complex business challenges, focusing on developing logical and analytical thinking for data-driven problem-solving.
The course is self-paced, and instruction is delivered through online video and text lessons. Students are assessed through quizzes, assignments and a proctored final exam. Major topics include introduction to Business Statistics; categorical data; descriptive statistics: measurement techniques; descriptive statistics: data representation; dispersion measures in Business; correlation and association in Business; probability concepts and distributions in Business Statistics; sampling techniques; constructing confidence intervals; hypothesis testing in business contexts; analyzing variance in business research; nonparametric methods in business statistics; regression analysis in business; business forecasting techniques; and implementing control charts in business processes.
In the lower division baccalaureate/associate degree category, 3 semester hours in Mathematics, Economics, International Business, Finance, Finance and Investment, Accounting, Management, Human Resources, Hospitality Management, Management Information System, Marketing, Education, or Health Services (1/24).
