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Applied Mathematics with Secondary Education Concentration

COURSE CODE
COURSE TITLE
CREDITS
Core Courses

 

 

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MATH107

MATH107 - College Geometry

This course is an introduction to the essentials of Euclidean geometry. Topics covered include: reasoning in mathematics, the relationship between algebra and geometry, analytic geometry, proofs and constructive triangles, circles, quadrilaterals, polygons, surfaces and solids and historical notes about famous geometricians. Prerequisite: MATH 106 with a grade of C or better or demonstrated competency through placement testing.

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College Geometry
3
MATH205

MATH205 - Calculus I

This course is an introduction to limits, continuity, and methods of differentiation. Application to problems in business management and physical science is emphasized. Prerequisite: MATH 203 with a grade of C or better or demonstrated competency through placement testing. Restrictions: not open to students who have completed MATH 206, or any 300 level mathematics courses.

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Calculus I
4
MATH206

MATH206 - Calculus II

This is a continuation of Calculus I, covering integration, functions of several variables, partial differentiation, maxmin problems, derivatives and integrals of trigonometric functions and differential equations with applications to business, biological sciences, and physical sciences. Prerequisite: MATH 205 with a grade of C or better or demonstrated competency through placement testing. Restrictions: not open to students who have completed MATH 320, MATH 328, or MATH 330.

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Calculus II
4
MATH208

MATH208 - Statistics

This is an introductory course in descriptive and inferential statistics with an emphasis on applications in business and the social and biological sciences. Topics include: data analysis, and graphical methods of describing data, measures of central tendency and variability, probability, the normal distribution, sampling distributions, confidence intervals, hypothesis testing, correlation, and regression analysis. Prerequisites: MATH 106 with a grade of C or better or demonstrated competency through placement testing and ENG 102.

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Statistics
3
MATH212

MATH212 - Finite Mathematics

The focus of this course is to develop mathematical models and to demonstrate the utility of various mathematical techniques that are most applicable to the creation of computer algorithms. Topics include functions and models, linear regression, solving systems of linear equations using matrices, matrix algebra and Leontief Input-Output models, linear programming (graphical and simplex methods), principle of duality, estimated and theoretical probability and Markov Chains. Applications are derived from current real world data and require mastery of Microsoft Excel and graphing calculator technology. Prerequisite: MATH 206 with a grade of C or better.

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Finite Mathematics
3
MATH307

MATH307 - Calculus III

This course is an introduction to sequences and series, parametric and polar curves, vectors and vector functions, partial derivatives, multiple integration, and vector calculus. Prerequisite: MATH 206 with a grade of C or better.

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Calculus III
4
MATH320

MATH320 - Differential Equations

This is an introduction to the many ways of solving various types of differential equations with emphasis on theory, methods of solution and applications. Topics include solutions of first, second and simple higher order differential equations, homogeneous and non-homogeneous equations, solutions of systems of differential equations using the theory of matrices, and determinants. Prerequisite: MATH 206 with a grade of B- or better.

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Differential Equations
4
MATH325

MATH325 - Linear Algebra

This is an introductory course in linear algebra blending the requirements of theory, problem solving, analytical thinking, computational techniques, and applications. Topics include in-depth treatment of matrix algebra, linear systems, vector spaces, linear transformations, determinants and computer methods, as well as applications and modeling of real phenomena in transportation systems, archaeology, economics, communications, demography, weather prediction, connectivity of networks, graph theory, and fractals. Prerequisite: MATH 206 with a grade of C or better.

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Linear Algebra
3
MATH330

MATH330 - Mathematical Modeling

This is an application-oriented course on how to solve real word problems from the social, medical and life sciences, business, and economics by set­ting up a mathematical model of the situation and then developing techniques for analyzing these models and solving them. Topics include the modeling process, linear models, financial models, modeling using proportionality, fitting linear and nonlinear models to data graphically, the least-squared criterion, linear programming models, modeling using the derivative, matrix and probability models, Markov chain models, and modeling interactive dynamic systems. Prerequisite: MATH 206 with a grade of C or better.

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Mathematical Modeling
3
MATH338

MATH338 - Mathematical Statistics

In this introduction to statistical theory, the roles probability and statistics play in business analysis and decision making are investigated. Topics include probability distributions, statistical inference, sampling distribution theory, and applications. Prerequisite: Math 206 with a grade of C or better.

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Mathematical Statistics
3
MATH399

MATH399 - Mathematical Applications

In this capstone course, Students investigate mathematics from a variety of fields and choose a topic for a mathematics project in their Field of Application. Mathematical methods for analysis, modeling, prediction, and/or problem solving are discussed. Students demonstrate knowledge of a substantial area of mathematics and present their work at a department seminar or the Connected Learning Symposium.

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Mathematical Applications
3
Secondary Education Requirements

 

 

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ED109

ED109 - Invitation to Teaching

This course explores careers in teaching beginning with the unifying question: Why should I become a teacher? Students examine their motivations to become teachers while they learn about college and state requirements and expectations.

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Invitation to Teaching
1
ED110

ED110 - Teaching & Learning in American Schools

This course provides students pursuing or considering initial teacher licensure with an overview of the teaching profession. Students study and discuss history and philosophies of education systems, as well as current trends and issues. Massachusetts professional standards and requirements for licensure are explored. This course is a prerequisite for all other ED courses. Twenty-five hours of observation and tutoring in varied school settings are required. This is a presentation-intensive course.

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Teaching & Learning in American Schools
4
ED210

ED210 - Reading & Writing Across the Curriculum

This course emphasizes the processes of reading and the critical nature of reading to learn in the content areas. Focus will be on literacy strategies to support teaching in content areas, the influences of diversity, the current methods of instruction, and assessments used to inform instruction. In addition, the current research on reading to learn will be read, discussed, and integrated in all course activities. Requires a pre-practicum of 25 hours. Prerequisite: ED 219

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Reading & Writing Across the Curriculum
4
ED219

ED219 - Supporting Learner Variability

This course introduces students to characteristics of learners with special needs in classroom and community settings. It focuses on principles of Universal Design for Learning in developing appropriate learning environments to meet the variability of all students in Pre-K through high school settings. A required 25-hour pre-practicum provides opportunities to teach and observe in area classrooms. Prerequisite: ED 110

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Supporting Learner Variability
4
ED308

ED308 - Responsive Teaching in Secondary Schools

Students will develop strategies and tools necessary to be responsive secondary teachers. Participants in this course will observe secondary teachers, develop lesson plans, reflect on their teaching philosophy, apply leadership theory to classroom practice, explore current trends and issues that impact secondary classrooms, increase their cultural competence, and expand their toolkit of strategies for differentiating instruction to address the variability of secondary students. Requires classroom observations. Pre-requisite: ED 219

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Responsive Teaching in Secondary Schools
3
ED309

ED309 - Sheltered English Immersion

This course provides a grounding in current theory and practice related to teaching English Language Learners. In particular, students learn to effectively shelter their content instruction, so that ELL students can access curriculum, achieve academic success, and contribute their multilingual and multicultural resources as participants and future leaders in the 21st century global economy. This course meets Massachusetts DESE standards for the required SEI endorsement. Course includes a 25-hour pre-practicum in license-appropriate classrooms. Prerequisite: ED 206 or Department permission

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Sheltered English Immersion
3
ED437

ED437 - Pre-practicum: Secondary Math

Through a minimum of 150 hours of observation and reflection in public schools, and regular meetings with school and Lasell faculty, students in this course become familiar with the curriculum and organization of middle and/or high schools and mathematics classrooms in preparation for the practicum. Prerequisite: Senior standing; passing scores on all required MTEL; permission of Department Chair

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Pre-practicum: Secondary Math
3
ED492

ED492 - Practicum: Secondary Math

In this course, students complete a minimum of 300 field hours observing and teaching in a secondary mathematics classroom and meet regularly with both Lasell and school supervisors. Assignments incorporate all Massachusetts requirements for licensure and include topics such as the ethics of teaching, legal and moral responsibilities, student confidentiality, and working parents and community members. Permission of the Department Chair required. Prerequisite: ED 437; passing scores on all required sections of the MTEL.

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Practicum: Secondary Math
9
PSYC101

PSYC101 - Psychological Perspectives

In this course, students learn to think like psychologists as they study classic and contemporary topics in human behavior, feeling, and thought. Students learn to apply psychological perspectives of thought, including biological, cognitive, sociocultural, humanistic, psychodynamic, and behaviorist, to better understand the human experience. Students will learn to use these perspectives to explore how individual behavior is influenced by and influences one’s biology, family, community and society. Topics may include human development, personality, psychopathology, human relationships, language, memory, perceptual processes, and intelligence, among others.

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Psychological Perspectives
3
PSYC223

PSYC223 - Adolescent Psychology

This course provides a survey of contemporary knowledge of the human brain, examining normal developmental brain processes and common brain functions. The course also covers common disorders and emphasizes understanding the impact of atypical brain development and the consequences of brain trauma. Intervention strategies and treatment are included. Prerequisite: PSYC101

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Adolescent Psychology
3

Core Curriculum:  Aesthetics/Creativity 1, Ethics Experience 1, Explorations 1, Global/Historical 1, Multidisciplinary 1, Science Inq/Prob Solv 1

Additional Requirements: 3 credits
Any Math course level 200 or above: 3 credits

Core Curriculum Requirements and remaining Unrestricted Electives: 44 credits

Minimum credits required for graduation: 120

Courses listed below fulfill Knowledge Perspective requirements:
Individuals and Society
PSYC 101: Psychological Perspectives